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Finding the Fourth Proportional to 9,691, 14,533.50 and 6,569.08

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Solution

The fourth proportional to 9,691, 14,533.50 and 6,569.08 is: 9,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691 : 14,533.50 = 6,569.08 : x
  2. Step 2: Convert to fraction form
    9,691/14,533.50 = 6,569.08/x
  3. Step 3: Cross multiply
    9,691x = 14,533.50 × 6,569.08
  4. Step 4: Simplify right side
    9,691x = 95,471,724.18
  5. Step 5: Solve for x
    x = 95,471,724.18/9,691
  6. Step 6: Final answer
    x = 9,851.59

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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.