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Finding the Fourth Proportional to 5,000.40, 7,497.36 and 1,713.60

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Solution

The fourth proportional to 5,000.40, 7,497.36 and 1,713.60 is: 2,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.40 : 7,497.36 = 1,713.60 : x
  2. Step 2: Convert to fraction form
    5,000.40/7,497.36 = 1,713.60/x
  3. Step 3: Cross multiply
    5,000.40x = 7,497.36 × 1,713.60
  4. Step 4: Simplify right side
    5,000.40x = 12,847,476.10
  5. Step 5: Solve for x
    x = 12,847,476.10/5,000.40
  6. Step 6: Final answer
    x = 2,569.29

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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.