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Finding the Fourth Proportional to 3,412.54, 5,117.86 and 947.17

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Solution

The fourth proportional to 3,412.54, 5,117.86 and 947.17 is: 1,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.54 : 5,117.86 = 947.17 : x
  2. Step 2: Convert to fraction form
    3,412.54/5,117.86 = 947.17/x
  3. Step 3: Cross multiply
    3,412.54x = 5,117.86 × 947.17
  4. Step 4: Simplify right side
    3,412.54x = 4,847,453.13
  5. Step 5: Solve for x
    x = 4,847,453.13/3,412.54
  6. Step 6: Final answer
    x = 1,420.48

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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.