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Finding the Fourth Proportional to 9,702.13, 13,390.55 and 5,724.22

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Solution

The fourth proportional to 9,702.13, 13,390.55 and 5,724.22 is: 7,900.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.13 : 13,390.55 = 5,724.22 : x
  2. Step 2: Convert to fraction form
    9,702.13/13,390.55 = 5,724.22/x
  3. Step 3: Cross multiply
    9,702.13x = 13,390.55 × 5,724.22
  4. Step 4: Simplify right side
    9,702.13x = 76,650,454.12
  5. Step 5: Solve for x
    x = 76,650,454.12/9,702.13
  6. Step 6: Final answer
    x = 7,900.37

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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.