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Finding the Fourth Proportional to 12,497.81, 17,247.18 and 7,461.05

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Solution

The fourth proportional to 12,497.81, 17,247.18 and 7,461.05 is: 10,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.81 : 17,247.18 = 7,461.05 : x
  2. Step 2: Convert to fraction form
    12,497.81/17,247.18 = 7,461.05/x
  3. Step 3: Cross multiply
    12,497.81x = 17,247.18 × 7,461.05
  4. Step 4: Simplify right side
    12,497.81x = 128,681,986.10
  5. Step 5: Solve for x
    x = 128,681,986.10/12,497.81
  6. Step 6: Final answer
    x = 10,296.37

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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.