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Finding the Fourth Proportional to 13,461.93, 18,577.43 and 7,494.12

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Solution

The fourth proportional to 13,461.93, 18,577.43 and 7,494.12 is: 10,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.93 : 18,577.43 = 7,494.12 : x
  2. Step 2: Convert to fraction form
    13,461.93/18,577.43 = 7,494.12/x
  3. Step 3: Cross multiply
    13,461.93x = 18,577.43 × 7,494.12
  4. Step 4: Simplify right side
    13,461.93x = 139,221,489.71
  5. Step 5: Solve for x
    x = 139,221,489.71/13,461.93
  6. Step 6: Final answer
    x = 10,341.87

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Half 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.