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Finding the Fourth Proportional to 6,587.56, 9,088.28 and 4,197.11

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Solution

The fourth proportional to 6,587.56, 9,088.28 and 4,197.11 is: 5,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.56 : 9,088.28 = 4,197.11 : x
  2. Step 2: Convert to fraction form
    6,587.56/9,088.28 = 4,197.11/x
  3. Step 3: Cross multiply
    6,587.56x = 9,088.28 × 4,197.11
  4. Step 4: Simplify right side
    6,587.56x = 38,144,460.18
  5. Step 5: Solve for x
    x = 38,144,460.18/6,587.56
  6. Step 6: Final answer
    x = 5,790.38

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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.