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Finding the Fourth Proportional to 9,874.80, 13,615.20 and 9,302.40

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Solution

The fourth proportional to 9,874.80, 13,615.20 and 9,302.40 is: 12,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.80 : 13,615.20 = 9,302.40 : x
  2. Step 2: Convert to fraction form
    9,874.80/13,615.20 = 9,302.40/x
  3. Step 3: Cross multiply
    9,874.80x = 13,615.20 × 9,302.40
  4. Step 4: Simplify right side
    9,874.80x = 126,654,036.48
  5. Step 5: Solve for x
    x = 126,654,036.48/9,874.80
  6. Step 6: Final answer
    x = 12,825.98

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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.