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Finding the Fourth Proportional to 18,263.52, 27,407.25 and 6,417

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Solution

The fourth proportional to 18,263.52, 27,407.25 and 6,417 is: 9,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,263.52 : 27,407.25 = 6,417 : x
  2. Step 2: Convert to fraction form
    18,263.52/27,407.25 = 6,417/x
  3. Step 3: Cross multiply
    18,263.52x = 27,407.25 × 6,417
  4. Step 4: Simplify right side
    18,263.52x = 175,872,323.25
  5. Step 5: Solve for x
    x = 175,872,323.25/18,263.52
  6. Step 6: Final answer
    x = 9,629.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.