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Finding the Fourth Proportional to 6,585.04, 9,876.52 and 1,966.96

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Solution

The fourth proportional to 6,585.04, 9,876.52 and 1,966.96 is: 2,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.04 : 9,876.52 = 1,966.96 : x
  2. Step 2: Convert to fraction form
    6,585.04/9,876.52 = 1,966.96/x
  3. Step 3: Cross multiply
    6,585.04x = 9,876.52 × 1,966.96
  4. Step 4: Simplify right side
    6,585.04x = 19,426,719.78
  5. Step 5: Solve for x
    x = 19,426,719.78/6,585.04
  6. Step 6: Final answer
    x = 2,950.13

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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.