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Finding the Fourth Proportional to 6,551.75, 9,041.28 and 3,567.64

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Solution

The fourth proportional to 6,551.75, 9,041.28 and 3,567.64 is: 4,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.75 : 9,041.28 = 3,567.64 : x
  2. Step 2: Convert to fraction form
    6,551.75/9,041.28 = 3,567.64/x
  3. Step 3: Cross multiply
    6,551.75x = 9,041.28 × 3,567.64
  4. Step 4: Simplify right side
    6,551.75x = 32,256,032.18
  5. Step 5: Solve for x
    x = 32,256,032.18/6,551.75
  6. Step 6: Final answer
    x = 4,923.27

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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.