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Finding the Fourth Proportional to 9,702.62, 14,542.16 and 6,887.03

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Solution

The fourth proportional to 9,702.62, 14,542.16 and 6,887.03 is: 10,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.62 : 14,542.16 = 6,887.03 : x
  2. Step 2: Convert to fraction form
    9,702.62/14,542.16 = 6,887.03/x
  3. Step 3: Cross multiply
    9,702.62x = 14,542.16 × 6,887.03
  4. Step 4: Simplify right side
    9,702.62x = 100,152,185.04
  5. Step 5: Solve for x
    x = 100,152,185.04/9,702.62
  6. Step 6: Final answer
    x = 10,322.18

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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.