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Finding the Fourth Proportional to 6,151.56, 9,225.66 and 2,688

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Solution

The fourth proportional to 6,151.56, 9,225.66 and 2,688 is: 4,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.56 : 9,225.66 = 2,688 : x
  2. Step 2: Convert to fraction form
    6,151.56/9,225.66 = 2,688/x
  3. Step 3: Cross multiply
    6,151.56x = 9,225.66 × 2,688
  4. Step 4: Simplify right side
    6,151.56x = 24,798,574.08
  5. Step 5: Solve for x
    x = 24,798,574.08/6,151.56
  6. Step 6: Final answer
    x = 4,031.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.