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Finding the Fourth Proportional to 6,549.44, 9,038.22 and 3,565.27

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Solution

The fourth proportional to 6,549.44, 9,038.22 and 3,565.27 is: 4,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.44 : 9,038.22 = 3,565.27 : x
  2. Step 2: Convert to fraction form
    6,549.44/9,038.22 = 3,565.27/x
  3. Step 3: Cross multiply
    6,549.44x = 9,038.22 × 3,565.27
  4. Step 4: Simplify right side
    6,549.44x = 32,223,672.02
  5. Step 5: Solve for x
    x = 32,223,672.02/6,549.44
  6. Step 6: Final answer
    x = 4,920.06

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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.