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Finding the Fourth Proportional to 15,657.93, 23,489.48 and 7,760.81

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Solution

The fourth proportional to 15,657.93, 23,489.48 and 7,760.81 is: 11,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.93 : 23,489.48 = 7,760.81 : x
  2. Step 2: Convert to fraction form
    15,657.93/23,489.48 = 7,760.81/x
  3. Step 3: Cross multiply
    15,657.93x = 23,489.48 × 7,760.81
  4. Step 4: Simplify right side
    15,657.93x = 182,297,352.47
  5. Step 5: Solve for x
    x = 182,297,352.47/15,657.93
  6. Step 6: Final answer
    x = 11,642.50

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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.