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Finding the Fourth Proportional to 10,372.61, 14,302.92 and 7,009.61

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Solution

The fourth proportional to 10,372.61, 14,302.92 and 7,009.61 is: 9,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.61 : 14,302.92 = 7,009.61 : x
  2. Step 2: Convert to fraction form
    10,372.61/14,302.92 = 7,009.61/x
  3. Step 3: Cross multiply
    10,372.61x = 14,302.92 × 7,009.61
  4. Step 4: Simplify right side
    10,372.61x = 100,257,891.06
  5. Step 5: Solve for x
    x = 100,257,891.06/10,372.61
  6. Step 6: Final answer
    x = 9,665.64

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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.