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Finding the Fourth Proportional to 15,693.62, 23,538.32 and 5,831.54

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Solution

The fourth proportional to 15,693.62, 23,538.32 and 5,831.54 is: 8,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,693.62 : 23,538.32 = 5,831.54 : x
  2. Step 2: Convert to fraction form
    15,693.62/23,538.32 = 5,831.54/x
  3. Step 3: Cross multiply
    15,693.62x = 23,538.32 × 5,831.54
  4. Step 4: Simplify right side
    15,693.62x = 137,264,654.61
  5. Step 5: Solve for x
    x = 137,264,654.61/15,693.62
  6. Step 6: Final answer
    x = 8,746.53

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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.