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Finding the Fourth Proportional to 15,258.24, 22,865.28 and 7,458.24

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Solution

The fourth proportional to 15,258.24, 22,865.28 and 7,458.24 is: 11,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,258.24 : 22,865.28 = 7,458.24 : x
  2. Step 2: Convert to fraction form
    15,258.24/22,865.28 = 7,458.24/x
  3. Step 3: Cross multiply
    15,258.24x = 22,865.28 × 7,458.24
  4. Step 4: Simplify right side
    15,258.24x = 170,534,745.91
  5. Step 5: Solve for x
    x = 170,534,745.91/15,258.24
  6. Step 6: Final answer
    x = 11,176.57

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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.