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Finding the Fourth Proportional to 9,929.59, 13,702.75 and 5,453.41

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Solution

The fourth proportional to 9,929.59, 13,702.75 and 5,453.41 is: 7,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.59 : 13,702.75 = 5,453.41 : x
  2. Step 2: Convert to fraction form
    9,929.59/13,702.75 = 5,453.41/x
  3. Step 3: Cross multiply
    9,929.59x = 13,702.75 × 5,453.41
  4. Step 4: Simplify right side
    9,929.59x = 74,726,713.88
  5. Step 5: Solve for x
    x = 74,726,713.88/9,929.59
  6. Step 6: Final answer
    x = 7,525.66

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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.