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Finding the Fourth Proportional to 9,565.88, 13,200.92 and 5,374.16

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Solution

The fourth proportional to 9,565.88, 13,200.92 and 5,374.16 is: 7,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.88 : 13,200.92 = 5,374.16 : x
  2. Step 2: Convert to fraction form
    9,565.88/13,200.92 = 5,374.16/x
  3. Step 3: Cross multiply
    9,565.88x = 13,200.92 × 5,374.16
  4. Step 4: Simplify right side
    9,565.88x = 70,943,856.23
  5. Step 5: Solve for x
    x = 70,943,856.23/9,565.88
  6. Step 6: Final answer
    x = 7,416.34

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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.