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Finding the Fourth Proportional to 10,562.80, 15,839.40 and 4,716.40

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Solution

The fourth proportional to 10,562.80, 15,839.40 and 4,716.40 is: 7,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.80 : 15,839.40 = 4,716.40 : x
  2. Step 2: Convert to fraction form
    10,562.80/15,839.40 = 4,716.40/x
  3. Step 3: Cross multiply
    10,562.80x = 15,839.40 × 4,716.40
  4. Step 4: Simplify right side
    10,562.80x = 74,704,946.16
  5. Step 5: Solve for x
    x = 74,704,946.16/10,562.80
  6. Step 6: Final answer
    x = 7,072.46

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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.