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Finding the Fourth Proportional to 10,472.60, 14,451 and 5,756.60

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Solution

The fourth proportional to 10,472.60, 14,451 and 5,756.60 is: 7,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.60 : 14,451 = 5,756.60 : x
  2. Step 2: Convert to fraction form
    10,472.60/14,451 = 5,756.60/x
  3. Step 3: Cross multiply
    10,472.60x = 14,451 × 5,756.60
  4. Step 4: Simplify right side
    10,472.60x = 83,188,626.60
  5. Step 5: Solve for x
    x = 83,188,626.60/10,472.60
  6. Step 6: Final answer
    x = 7,943.45

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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.