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Finding the Fourth Proportional to 13,017.65, 17,964.34 and 7,049.30

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Solution

The fourth proportional to 13,017.65, 17,964.34 and 7,049.30 is: 9,728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.65 : 17,964.34 = 7,049.30 : x
  2. Step 2: Convert to fraction form
    13,017.65/17,964.34 = 7,049.30/x
  3. Step 3: Cross multiply
    13,017.65x = 17,964.34 × 7,049.30
  4. Step 4: Simplify right side
    13,017.65x = 126,636,056.18
  5. Step 5: Solve for x
    x = 126,636,056.18/13,017.65
  6. Step 6: Final answer
    x = 9,728.02

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1.5x scale

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.