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Finding the Fourth Proportional to 10,462.84, 15,655.04 and 6,230.61

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Solution

The fourth proportional to 10,462.84, 15,655.04 and 6,230.61 is: 9,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.84 : 15,655.04 = 6,230.61 : x
  2. Step 2: Convert to fraction form
    10,462.84/15,655.04 = 6,230.61/x
  3. Step 3: Cross multiply
    10,462.84x = 15,655.04 × 6,230.61
  4. Step 4: Simplify right side
    10,462.84x = 97,540,448.77
  5. Step 5: Solve for x
    x = 97,540,448.77/10,462.84
  6. Step 6: Final answer
    x = 9,322.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.