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Finding the Fourth Proportional to 5,606.71, 8,411.28 and 1,711.42

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Solution

The fourth proportional to 5,606.71, 8,411.28 and 1,711.42 is: 2,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.71 : 8,411.28 = 1,711.42 : x
  2. Step 2: Convert to fraction form
    5,606.71/8,411.28 = 1,711.42/x
  3. Step 3: Cross multiply
    5,606.71x = 8,411.28 × 1,711.42
  4. Step 4: Simplify right side
    5,606.71x = 14,395,232.82
  5. Step 5: Solve for x
    x = 14,395,232.82/5,606.71
  6. Step 6: Final answer
    x = 2,567.50

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Half scale
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Double scale
Find fourth proportional to 5,607.71, 8,412.78 and 1,712.42
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.