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Finding the Fourth Proportional to 6,587.62, 9,093.23 and 4,071.66

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Solution

The fourth proportional to 6,587.62, 9,093.23 and 4,071.66 is: 5,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.62 : 9,093.23 = 4,071.66 : x
  2. Step 2: Convert to fraction form
    6,587.62/9,093.23 = 4,071.66/x
  3. Step 3: Cross multiply
    6,587.62x = 9,093.23 × 4,071.66
  4. Step 4: Simplify right side
    6,587.62x = 37,024,475.04
  5. Step 5: Solve for x
    x = 37,024,475.04/6,587.62
  6. Step 6: Final answer
    x = 5,620.32

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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.