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Finding the Fourth Proportional to 10,382.00, 15,572.99 and 9,346.34

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Solution

The fourth proportional to 10,382.00, 15,572.99 and 9,346.34 is: 14,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.00 : 15,572.99 = 9,346.34 : x
  2. Step 2: Convert to fraction form
    10,382.00/15,572.99 = 9,346.34/x
  3. Step 3: Cross multiply
    10,382.00x = 15,572.99 × 9,346.34
  4. Step 4: Simplify right side
    10,382.00x = 145,550,521.65
  5. Step 5: Solve for x
    x = 145,550,521.65/10,382.00
  6. Step 6: Final answer
    x = 14,019.51

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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.