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Finding the Fourth Proportional to 10,465.67, 14,437.82 and 6,687.83

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Solution

The fourth proportional to 10,465.67, 14,437.82 and 6,687.83 is: 9,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.67 : 14,437.82 = 6,687.83 : x
  2. Step 2: Convert to fraction form
    10,465.67/14,437.82 = 6,687.83/x
  3. Step 3: Cross multiply
    10,465.67x = 14,437.82 × 6,687.83
  4. Step 4: Simplify right side
    10,465.67x = 96,557,580.10
  5. Step 5: Solve for x
    x = 96,557,580.10/10,465.67
  6. Step 6: Final answer
    x = 9,226.13

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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.