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Finding the Fourth Proportional to 9,574.50, 13,212 and 5,382.48

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Solution

The fourth proportional to 9,574.50, 13,212 and 5,382.48 is: 7,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.50 : 13,212 = 5,382.48 : x
  2. Step 2: Convert to fraction form
    9,574.50/13,212 = 5,382.48/x
  3. Step 3: Cross multiply
    9,574.50x = 13,212 × 5,382.48
  4. Step 4: Simplify right side
    9,574.50x = 71,113,325.76
  5. Step 5: Solve for x
    x = 71,113,325.76/9,574.50
  6. Step 6: Final answer
    x = 7,427.37

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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.