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Finding the Fourth Proportional to 7,070.88, 9,757.84 and 3,927.07

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Solution

The fourth proportional to 7,070.88, 9,757.84 and 3,927.07 is: 5,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.88 : 9,757.84 = 3,927.07 : x
  2. Step 2: Convert to fraction form
    7,070.88/9,757.84 = 3,927.07/x
  3. Step 3: Cross multiply
    7,070.88x = 9,757.84 × 3,927.07
  4. Step 4: Simplify right side
    7,070.88x = 38,319,652.30
  5. Step 5: Solve for x
    x = 38,319,652.30/7,070.88
  6. Step 6: Final answer
    x = 5,419.36

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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.