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Finding the Fourth Proportional to 12,794.07, 17,655.86 and 7,417.56

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Solution

The fourth proportional to 12,794.07, 17,655.86 and 7,417.56 is: 10,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.07 : 17,655.86 = 7,417.56 : x
  2. Step 2: Convert to fraction form
    12,794.07/17,655.86 = 7,417.56/x
  3. Step 3: Cross multiply
    12,794.07x = 17,655.86 × 7,417.56
  4. Step 4: Simplify right side
    12,794.07x = 130,963,325.42
  5. Step 5: Solve for x
    x = 130,963,325.42/12,794.07
  6. Step 6: Final answer
    x = 10,236.25

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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.