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Finding the Fourth Proportional to 12,574.23, 17,353.94 and 7,541.22

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Solution

The fourth proportional to 12,574.23, 17,353.94 and 7,541.22 is: 10,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.23 : 17,353.94 = 7,541.22 : x
  2. Step 2: Convert to fraction form
    12,574.23/17,353.94 = 7,541.22/x
  3. Step 3: Cross multiply
    12,574.23x = 17,353.94 × 7,541.22
  4. Step 4: Simplify right side
    12,574.23x = 130,869,898.26
  5. Step 5: Solve for x
    x = 130,869,898.26/12,574.23
  6. Step 6: Final answer
    x = 10,407.79

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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.