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Finding the Fourth Proportional to 10,545.16, 14,551.78 and 5,829.14

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Solution

The fourth proportional to 10,545.16, 14,551.78 and 5,829.14 is: 8,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.16 : 14,551.78 = 5,829.14 : x
  2. Step 2: Convert to fraction form
    10,545.16/14,551.78 = 5,829.14/x
  3. Step 3: Cross multiply
    10,545.16x = 14,551.78 × 5,829.14
  4. Step 4: Simplify right side
    10,545.16x = 84,824,362.87
  5. Step 5: Solve for x
    x = 84,824,362.87/10,545.16
  6. Step 6: Final answer
    x = 8,043.91

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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.