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Finding the Fourth Proportional to 9,482.48, 14,228.52 and 6,398

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Solution

The fourth proportional to 9,482.48, 14,228.52 and 6,398 is: 9,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.48 : 14,228.52 = 6,398 : x
  2. Step 2: Convert to fraction form
    9,482.48/14,228.52 = 6,398/x
  3. Step 3: Cross multiply
    9,482.48x = 14,228.52 × 6,398
  4. Step 4: Simplify right side
    9,482.48x = 91,034,070.96
  5. Step 5: Solve for x
    x = 91,034,070.96/9,482.48
  6. Step 6: Final answer
    x = 9,600.24

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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.