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Finding the Fourth Proportional to 12,614.11, 17,407.48 and 7,312.01

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Solution

The fourth proportional to 12,614.11, 17,407.48 and 7,312.01 is: 10,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.11 : 17,407.48 = 7,312.01 : x
  2. Step 2: Convert to fraction form
    12,614.11/17,407.48 = 7,312.01/x
  3. Step 3: Cross multiply
    12,614.11x = 17,407.48 × 7,312.01
  4. Step 4: Simplify right side
    12,614.11x = 127,283,562.52
  5. Step 5: Solve for x
    x = 127,283,562.52/12,614.11
  6. Step 6: Final answer
    x = 10,090.57

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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.