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Finding the Fourth Proportional to 12,617.41, 17,411.01 and 7,312.57

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Solution

The fourth proportional to 12,617.41, 17,411.01 and 7,312.57 is: 10,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.41 : 17,411.01 = 7,312.57 : x
  2. Step 2: Convert to fraction form
    12,617.41/17,411.01 = 7,312.57/x
  3. Step 3: Cross multiply
    12,617.41x = 17,411.01 × 7,312.57
  4. Step 4: Simplify right side
    12,617.41x = 127,319,229.40
  5. Step 5: Solve for x
    x = 127,319,229.40/12,617.41
  6. Step 6: Final answer
    x = 10,090.76

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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.