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Finding the Fourth Proportional to 15,697.24, 23,522.82 and 7,895.32

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Solution

The fourth proportional to 15,697.24, 23,522.82 and 7,895.32 is: 11,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.24 : 23,522.82 = 7,895.32 : x
  2. Step 2: Convert to fraction form
    15,697.24/23,522.82 = 7,895.32/x
  3. Step 3: Cross multiply
    15,697.24x = 23,522.82 × 7,895.32
  4. Step 4: Simplify right side
    15,697.24x = 185,720,191.20
  5. Step 5: Solve for x
    x = 185,720,191.20/15,697.24
  6. Step 6: Final answer
    x = 11,831.39

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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.