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Finding the Fourth Proportional to 10,478.70, 14,460.53 and 5,762.97

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Solution

The fourth proportional to 10,478.70, 14,460.53 and 5,762.97 is: 7,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.70 : 14,460.53 = 5,762.97 : x
  2. Step 2: Convert to fraction form
    10,478.70/14,460.53 = 5,762.97/x
  3. Step 3: Cross multiply
    10,478.70x = 14,460.53 × 5,762.97
  4. Step 4: Simplify right side
    10,478.70x = 83,335,571.76
  5. Step 5: Solve for x
    x = 83,335,571.76/10,478.70
  6. Step 6: Final answer
    x = 7,952.85

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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.