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Finding the Fourth Proportional to 9,656.26, 13,318.76 and 8,862.14

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Solution

The fourth proportional to 9,656.26, 13,318.76 and 8,862.14 is: 12,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.26 : 13,318.76 = 8,862.14 : x
  2. Step 2: Convert to fraction form
    9,656.26/13,318.76 = 8,862.14/x
  3. Step 3: Cross multiply
    9,656.26x = 13,318.76 × 8,862.14
  4. Step 4: Simplify right side
    9,656.26x = 118,032,715.75
  5. Step 5: Solve for x
    x = 118,032,715.75/9,656.26
  6. Step 6: Final answer
    x = 12,223.44

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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.