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Finding the Fourth Proportional to 9,913.14, 14,853.93 and 5,232.98

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Solution

The fourth proportional to 9,913.14, 14,853.93 and 5,232.98 is: 7,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.14 : 14,853.93 = 5,232.98 : x
  2. Step 2: Convert to fraction form
    9,913.14/14,853.93 = 5,232.98/x
  3. Step 3: Cross multiply
    9,913.14x = 14,853.93 × 5,232.98
  4. Step 4: Simplify right side
    9,913.14x = 77,730,318.61
  5. Step 5: Solve for x
    x = 77,730,318.61/9,913.14
  6. Step 6: Final answer
    x = 7,841.14

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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.