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Finding the Fourth Proportional to 10,460.84, 15,652.04 and 6,228.61

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Solution

The fourth proportional to 10,460.84, 15,652.04 and 6,228.61 is: 9,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.84 : 15,652.04 = 6,228.61 : x
  2. Step 2: Convert to fraction form
    10,460.84/15,652.04 = 6,228.61/x
  3. Step 3: Cross multiply
    10,460.84x = 15,652.04 × 6,228.61
  4. Step 4: Simplify right side
    10,460.84x = 97,490,452.86
  5. Step 5: Solve for x
    x = 97,490,452.86/10,460.84
  6. Step 6: Final answer
    x = 9,319.56

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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.