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Finding the Fourth Proportional to 6,864.16, 10,298.40 and 6,246.40

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Solution

The fourth proportional to 6,864.16, 10,298.40 and 6,246.40 is: 9,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.16 : 10,298.40 = 6,246.40 : x
  2. Step 2: Convert to fraction form
    6,864.16/10,298.40 = 6,246.40/x
  3. Step 3: Cross multiply
    6,864.16x = 10,298.40 × 6,246.40
  4. Step 4: Simplify right side
    6,864.16x = 64,327,925.76
  5. Step 5: Solve for x
    x = 64,327,925.76/6,864.16
  6. Step 6: Final answer
    x = 9,371.57

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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.