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Finding the Fourth Proportional to 15,762.40, 21,755.02 and 9,792.70

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Solution

The fourth proportional to 15,762.40, 21,755.02 and 9,792.70 is: 13,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.40 : 21,755.02 = 9,792.70 : x
  2. Step 2: Convert to fraction form
    15,762.40/21,755.02 = 9,792.70/x
  3. Step 3: Cross multiply
    15,762.40x = 21,755.02 × 9,792.70
  4. Step 4: Simplify right side
    15,762.40x = 213,040,384.35
  5. Step 5: Solve for x
    x = 213,040,384.35/15,762.40
  6. Step 6: Final answer
    x = 13,515.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.