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Finding the Fourth Proportional to 6,407.15, 9,593.51 and 6,038.64

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Solution

The fourth proportional to 6,407.15, 9,593.51 and 6,038.64 is: 9,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.15 : 9,593.51 = 6,038.64 : x
  2. Step 2: Convert to fraction form
    6,407.15/9,593.51 = 6,038.64/x
  3. Step 3: Cross multiply
    6,407.15x = 9,593.51 × 6,038.64
  4. Step 4: Simplify right side
    6,407.15x = 57,931,723.03
  5. Step 5: Solve for x
    x = 57,931,723.03/6,407.15
  6. Step 6: Final answer
    x = 9,041.74

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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.