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Finding the Fourth Proportional to 10,149.04, 14,006.04 and 5,958.64

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Solution

The fourth proportional to 10,149.04, 14,006.04 and 5,958.64 is: 8,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.04 : 14,006.04 = 5,958.64 : x
  2. Step 2: Convert to fraction form
    10,149.04/14,006.04 = 5,958.64/x
  3. Step 3: Cross multiply
    10,149.04x = 14,006.04 × 5,958.64
  4. Step 4: Simplify right side
    10,149.04x = 83,456,950.19
  5. Step 5: Solve for x
    x = 83,456,950.19/10,149.04
  6. Step 6: Final answer
    x = 8,223.14

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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.