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Finding the Fourth Proportional to 10,323.91, 14,249.25 and 6,787.45

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Solution

The fourth proportional to 10,323.91, 14,249.25 and 6,787.45 is: 9,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.91 : 14,249.25 = 6,787.45 : x
  2. Step 2: Convert to fraction form
    10,323.91/14,249.25 = 6,787.45/x
  3. Step 3: Cross multiply
    10,323.91x = 14,249.25 × 6,787.45
  4. Step 4: Simplify right side
    10,323.91x = 96,716,061.74
  5. Step 5: Solve for x
    x = 96,716,061.74/10,323.91
  6. Step 6: Final answer
    x = 9,368.16

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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.