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Finding the Fourth Proportional to 9,565.20, 13,203 and 5,586.48

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Solution

The fourth proportional to 9,565.20, 13,203 and 5,586.48 is: 7,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.20 : 13,203 = 5,586.48 : x
  2. Step 2: Convert to fraction form
    9,565.20/13,203 = 5,586.48/x
  3. Step 3: Cross multiply
    9,565.20x = 13,203 × 5,586.48
  4. Step 4: Simplify right side
    9,565.20x = 73,758,295.44
  5. Step 5: Solve for x
    x = 73,758,295.44/9,565.20
  6. Step 6: Final answer
    x = 7,711.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.