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Finding the Fourth Proportional to 6,367.55, 9,551.16 and 1,925.10

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Solution

The fourth proportional to 6,367.55, 9,551.16 and 1,925.10 is: 2,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.55 : 9,551.16 = 1,925.10 : x
  2. Step 2: Convert to fraction form
    6,367.55/9,551.16 = 1,925.10/x
  3. Step 3: Cross multiply
    6,367.55x = 9,551.16 × 1,925.10
  4. Step 4: Simplify right side
    6,367.55x = 18,386,938.12
  5. Step 5: Solve for x
    x = 18,386,938.12/6,367.55
  6. Step 6: Final answer
    x = 2,887.60

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Why These Related Problems?

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