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Finding the Fourth Proportional to 7,070.85, 9,757.74 and 3,927.06

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Solution

The fourth proportional to 7,070.85, 9,757.74 and 3,927.06 is: 5,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.85 : 9,757.74 = 3,927.06 : x
  2. Step 2: Convert to fraction form
    7,070.85/9,757.74 = 3,927.06/x
  3. Step 3: Cross multiply
    7,070.85x = 9,757.74 × 3,927.06
  4. Step 4: Simplify right side
    7,070.85x = 38,319,230.44
  5. Step 5: Solve for x
    x = 38,319,230.44/7,070.85
  6. Step 6: Final answer
    x = 5,419.32

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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.