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Finding the Fourth Proportional to 9,585, 14,338.62 and 6,936.30

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Solution

The fourth proportional to 9,585, 14,338.62 and 6,936.30 is: 10,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585 : 14,338.62 = 6,936.30 : x
  2. Step 2: Convert to fraction form
    9,585/14,338.62 = 6,936.30/x
  3. Step 3: Cross multiply
    9,585x = 14,338.62 × 6,936.30
  4. Step 4: Simplify right side
    9,585x = 99,456,969.91
  5. Step 5: Solve for x
    x = 99,456,969.91/9,585
  6. Step 6: Final answer
    x = 10,376.31

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1.5x scale

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.