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Finding the Fourth Proportional to 9,932.61, 13,706.95 and 5,395.25

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Solution

The fourth proportional to 9,932.61, 13,706.95 and 5,395.25 is: 7,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.61 : 13,706.95 = 5,395.25 : x
  2. Step 2: Convert to fraction form
    9,932.61/13,706.95 = 5,395.25/x
  3. Step 3: Cross multiply
    9,932.61x = 13,706.95 × 5,395.25
  4. Step 4: Simplify right side
    9,932.61x = 73,952,497.05
  5. Step 5: Solve for x
    x = 73,952,497.05/9,932.61
  6. Step 6: Final answer
    x = 7,445.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.