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Finding the Fourth Proportional to 7,657.66, 11,471.88 and 5,188.24

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Solution

The fourth proportional to 7,657.66, 11,471.88 and 5,188.24 is: 7,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.66 : 11,471.88 = 5,188.24 : x
  2. Step 2: Convert to fraction form
    7,657.66/11,471.88 = 5,188.24/x
  3. Step 3: Cross multiply
    7,657.66x = 11,471.88 × 5,188.24
  4. Step 4: Simplify right side
    7,657.66x = 59,518,866.69
  5. Step 5: Solve for x
    x = 59,518,866.69/7,657.66
  6. Step 6: Final answer
    x = 7,772.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.