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Finding the Fourth Proportional to 13,548.46, 18,696.74 and 7,498.71

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Solution

The fourth proportional to 13,548.46, 18,696.74 and 7,498.71 is: 10,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.46 : 18,696.74 = 7,498.71 : x
  2. Step 2: Convert to fraction form
    13,548.46/18,696.74 = 7,498.71/x
  3. Step 3: Cross multiply
    13,548.46x = 18,696.74 × 7,498.71
  4. Step 4: Simplify right side
    13,548.46x = 140,201,483.13
  5. Step 5: Solve for x
    x = 140,201,483.13/13,548.46
  6. Step 6: Final answer
    x = 10,348.15

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Half scale
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Double scale
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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.