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Finding the Fourth Proportional to 7,164.53, 9,888.24 and 3,978.85

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Solution

The fourth proportional to 7,164.53, 9,888.24 and 3,978.85 is: 5,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.53 : 9,888.24 = 3,978.85 : x
  2. Step 2: Convert to fraction form
    7,164.53/9,888.24 = 3,978.85/x
  3. Step 3: Cross multiply
    7,164.53x = 9,888.24 × 3,978.85
  4. Step 4: Simplify right side
    7,164.53x = 39,343,808.73
  5. Step 5: Solve for x
    x = 39,343,808.73/7,164.53
  6. Step 6: Final answer
    x = 5,491.47

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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.