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Finding the Fourth Proportional to 9,984.38, 14,950.98 and 9,688.75

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Solution

The fourth proportional to 9,984.38, 14,950.98 and 9,688.75 is: 14,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.38 : 14,950.98 = 9,688.75 : x
  2. Step 2: Convert to fraction form
    9,984.38/14,950.98 = 9,688.75/x
  3. Step 3: Cross multiply
    9,984.38x = 14,950.98 × 9,688.75
  4. Step 4: Simplify right side
    9,984.38x = 144,856,270.10
  5. Step 5: Solve for x
    x = 144,856,270.10/9,984.38
  6. Step 6: Final answer
    x = 14,508.30

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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.