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Finding the Fourth Proportional to 6,552.38, 9,038.28 and 6,114.98

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Solution

The fourth proportional to 6,552.38, 9,038.28 and 6,114.98 is: 8,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.38 : 9,038.28 = 6,114.98 : x
  2. Step 2: Convert to fraction form
    6,552.38/9,038.28 = 6,114.98/x
  3. Step 3: Cross multiply
    6,552.38x = 9,038.28 × 6,114.98
  4. Step 4: Simplify right side
    6,552.38x = 55,268,901.43
  5. Step 5: Solve for x
    x = 55,268,901.43/6,552.38
  6. Step 6: Final answer
    x = 8,434.94

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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.