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Finding the Fourth Proportional to 9,482.73, 14,224.14 and 4,282.53

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Solution

The fourth proportional to 9,482.73, 14,224.14 and 4,282.53 is: 6,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.73 : 14,224.14 = 4,282.53 : x
  2. Step 2: Convert to fraction form
    9,482.73/14,224.14 = 4,282.53/x
  3. Step 3: Cross multiply
    9,482.73x = 14,224.14 × 4,282.53
  4. Step 4: Simplify right side
    9,482.73x = 60,915,306.27
  5. Step 5: Solve for x
    x = 60,915,306.27/9,482.73
  6. Step 6: Final answer
    x = 6,423.82

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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.