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Finding the Fourth Proportional to 5,564.96, 8,347.82 and 5,284.68

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Solution

The fourth proportional to 5,564.96, 8,347.82 and 5,284.68 is: 7,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.96 : 8,347.82 = 5,284.68 : x
  2. Step 2: Convert to fraction form
    5,564.96/8,347.82 = 5,284.68/x
  3. Step 3: Cross multiply
    5,564.96x = 8,347.82 × 5,284.68
  4. Step 4: Simplify right side
    5,564.96x = 44,115,557.40
  5. Step 5: Solve for x
    x = 44,115,557.40/5,564.96
  6. Step 6: Final answer
    x = 7,927.38

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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.