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Finding the Fourth Proportional to 9,574.02, 13,212 and 5,382.27

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Solution

The fourth proportional to 9,574.02, 13,212 and 5,382.27 is: 7,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.02 : 13,212 = 5,382.27 : x
  2. Step 2: Convert to fraction form
    9,574.02/13,212 = 5,382.27/x
  3. Step 3: Cross multiply
    9,574.02x = 13,212 × 5,382.27
  4. Step 4: Simplify right side
    9,574.02x = 71,110,551.24
  5. Step 5: Solve for x
    x = 71,110,551.24/9,574.02
  6. Step 6: Final answer
    x = 7,427.45

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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.