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Finding the Fourth Proportional to 9,574.74, 13,213.13 and 5,382.99

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Solution

The fourth proportional to 9,574.74, 13,213.13 and 5,382.99 is: 7,428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.74 : 13,213.13 = 5,382.99 : x
  2. Step 2: Convert to fraction form
    9,574.74/13,213.13 = 5,382.99/x
  3. Step 3: Cross multiply
    9,574.74x = 13,213.13 × 5,382.99
  4. Step 4: Simplify right side
    9,574.74x = 71,126,119.74
  5. Step 5: Solve for x
    x = 71,126,119.74/9,574.74
  6. Step 6: Final answer
    x = 7,428.52

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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.