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Finding the Fourth Proportional to 15,228.16, 22,798.16 and 9,366.96

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Solution

The fourth proportional to 15,228.16, 22,798.16 and 9,366.96 is: 14,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.16 : 22,798.16 = 9,366.96 : x
  2. Step 2: Convert to fraction form
    15,228.16/22,798.16 = 9,366.96/x
  3. Step 3: Cross multiply
    15,228.16x = 22,798.16 × 9,366.96
  4. Step 4: Simplify right side
    15,228.16x = 213,549,452.79
  5. Step 5: Solve for x
    x = 213,549,452.79/15,228.16
  6. Step 6: Final answer
    x = 14,023.33

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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.