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Finding the Fourth Proportional to 9,878.78, 13,632.75 and 5,687

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Solution

The fourth proportional to 9,878.78, 13,632.75 and 5,687 is: 7,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.78 : 13,632.75 = 5,687 : x
  2. Step 2: Convert to fraction form
    9,878.78/13,632.75 = 5,687/x
  3. Step 3: Cross multiply
    9,878.78x = 13,632.75 × 5,687
  4. Step 4: Simplify right side
    9,878.78x = 77,529,449.25
  5. Step 5: Solve for x
    x = 77,529,449.25/9,878.78
  6. Step 6: Final answer
    x = 7,848.08

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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.