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Finding the Fourth Proportional to 10,465.62, 14,437.62 and 6,686.82

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Solution

The fourth proportional to 10,465.62, 14,437.62 and 6,686.82 is: 9,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.62 : 14,437.62 = 6,686.82 : x
  2. Step 2: Convert to fraction form
    10,465.62/14,437.62 = 6,686.82/x
  3. Step 3: Cross multiply
    10,465.62x = 14,437.62 × 6,686.82
  4. Step 4: Simplify right side
    10,465.62x = 96,541,766.17
  5. Step 5: Solve for x
    x = 96,541,766.17/10,465.62
  6. Step 6: Final answer
    x = 9,224.66

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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.