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Finding the Fourth Proportional to 9,876.88, 13,632.84 and 5,686.48

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Solution

The fourth proportional to 9,876.88, 13,632.84 and 5,686.48 is: 7,848.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.88 : 13,632.84 = 5,686.48 : x
  2. Step 2: Convert to fraction form
    9,876.88/13,632.84 = 5,686.48/x
  3. Step 3: Cross multiply
    9,876.88x = 13,632.84 × 5,686.48
  4. Step 4: Simplify right side
    9,876.88x = 77,522,872.00
  5. Step 5: Solve for x
    x = 77,522,872.00/9,876.88
  6. Step 6: Final answer
    x = 7,848.92

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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.