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Finding the Fourth Proportional to 6,541.74, 9,027.54 and 3,557.66

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Solution

The fourth proportional to 6,541.74, 9,027.54 and 3,557.66 is: 4,909.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.74 : 9,027.54 = 3,557.66 : x
  2. Step 2: Convert to fraction form
    6,541.74/9,027.54 = 3,557.66/x
  3. Step 3: Cross multiply
    6,541.74x = 9,027.54 × 3,557.66
  4. Step 4: Simplify right side
    6,541.74x = 32,116,872.82
  5. Step 5: Solve for x
    x = 32,116,872.82/6,541.74
  6. Step 6: Final answer
    x = 4,909.53

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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.