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Finding the Fourth Proportional to 9,978.17, 13,771.52 and 6,001.47

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Solution

The fourth proportional to 9,978.17, 13,771.52 and 6,001.47 is: 8,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.17 : 13,771.52 = 6,001.47 : x
  2. Step 2: Convert to fraction form
    9,978.17/13,771.52 = 6,001.47/x
  3. Step 3: Cross multiply
    9,978.17x = 13,771.52 × 6,001.47
  4. Step 4: Simplify right side
    9,978.17x = 82,649,334.13
  5. Step 5: Solve for x
    x = 82,649,334.13/9,978.17
  6. Step 6: Final answer
    x = 8,283.02

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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.