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Finding the Fourth Proportional to 9,666.75, 14,474.91 and 5,275.14

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Solution

The fourth proportional to 9,666.75, 14,474.91 and 5,275.14 is: 7,898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.75 : 14,474.91 = 5,275.14 : x
  2. Step 2: Convert to fraction form
    9,666.75/14,474.91 = 5,275.14/x
  3. Step 3: Cross multiply
    9,666.75x = 14,474.91 × 5,275.14
  4. Step 4: Simplify right side
    9,666.75x = 76,357,176.74
  5. Step 5: Solve for x
    x = 76,357,176.74/9,666.75
  6. Step 6: Final answer
    x = 7,898.95

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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.