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Finding the Fourth Proportional to 9,604.40, 13,253.76 and 5,878.40

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Solution

The fourth proportional to 9,604.40, 13,253.76 and 5,878.40 is: 8,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.40 : 13,253.76 = 5,878.40 : x
  2. Step 2: Convert to fraction form
    9,604.40/13,253.76 = 5,878.40/x
  3. Step 3: Cross multiply
    9,604.40x = 13,253.76 × 5,878.40
  4. Step 4: Simplify right side
    9,604.40x = 77,910,902.78
  5. Step 5: Solve for x
    x = 77,910,902.78/9,604.40
  6. Step 6: Final answer
    x = 8,112.00

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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.