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Finding the Fourth Proportional to 9,927.78, 13,701.03 and 6,564.75

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Solution

The fourth proportional to 9,927.78, 13,701.03 and 6,564.75 is: 9,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.78 : 13,701.03 = 6,564.75 : x
  2. Step 2: Convert to fraction form
    9,927.78/13,701.03 = 6,564.75/x
  3. Step 3: Cross multiply
    9,927.78x = 13,701.03 × 6,564.75
  4. Step 4: Simplify right side
    9,927.78x = 89,943,836.69
  5. Step 5: Solve for x
    x = 89,943,836.69/9,927.78
  6. Step 6: Final answer
    x = 9,059.81

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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.