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Finding the Fourth Proportional to 10,470.84, 14,449.84 and 5,755.20

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Solution

The fourth proportional to 10,470.84, 14,449.84 and 5,755.20 is: 7,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.84 : 14,449.84 = 5,755.20 : x
  2. Step 2: Convert to fraction form
    10,470.84/14,449.84 = 5,755.20/x
  3. Step 3: Cross multiply
    10,470.84x = 14,449.84 × 5,755.20
  4. Step 4: Simplify right side
    10,470.84x = 83,161,719.17
  5. Step 5: Solve for x
    x = 83,161,719.17/10,470.84
  6. Step 6: Final answer
    x = 7,942.22

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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.