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Finding the Fourth Proportional to 10,864.65, 14,993.95 and 6,148.93

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Solution

The fourth proportional to 10,864.65, 14,993.95 and 6,148.93 is: 8,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.65 : 14,993.95 = 6,148.93 : x
  2. Step 2: Convert to fraction form
    10,864.65/14,993.95 = 6,148.93/x
  3. Step 3: Cross multiply
    10,864.65x = 14,993.95 × 6,148.93
  4. Step 4: Simplify right side
    10,864.65x = 92,196,689.38
  5. Step 5: Solve for x
    x = 92,196,689.38/10,864.65
  6. Step 6: Final answer
    x = 8,485.94

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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.