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Finding the Fourth Proportional to 10,452.84, 14,424.98 and 5,737.16

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Solution

The fourth proportional to 10,452.84, 14,424.98 and 5,737.16 is: 7,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.84 : 14,424.98 = 5,737.16 : x
  2. Step 2: Convert to fraction form
    10,452.84/14,424.98 = 5,737.16/x
  3. Step 3: Cross multiply
    10,452.84x = 14,424.98 × 5,737.16
  4. Step 4: Simplify right side
    10,452.84x = 82,758,418.26
  5. Step 5: Solve for x
    x = 82,758,418.26/10,452.84
  6. Step 6: Final answer
    x = 7,917.31

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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.