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Finding the Fourth Proportional to 9,141.12, 12,603 and 7,497.96

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Solution

The fourth proportional to 9,141.12, 12,603 and 7,497.96 is: 10,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.12 : 12,603 = 7,497.96 : x
  2. Step 2: Convert to fraction form
    9,141.12/12,603 = 7,497.96/x
  3. Step 3: Cross multiply
    9,141.12x = 12,603 × 7,497.96
  4. Step 4: Simplify right side
    9,141.12x = 94,496,789.88
  5. Step 5: Solve for x
    x = 94,496,789.88/9,141.12
  6. Step 6: Final answer
    x = 10,337.55

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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.