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Finding the Fourth Proportional to 13,570.78, 18,726.78 and 7,602.44

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Solution

The fourth proportional to 13,570.78, 18,726.78 and 7,602.44 is: 10,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.78 : 18,726.78 = 7,602.44 : x
  2. Step 2: Convert to fraction form
    13,570.78/18,726.78 = 7,602.44/x
  3. Step 3: Cross multiply
    13,570.78x = 18,726.78 × 7,602.44
  4. Step 4: Simplify right side
    13,570.78x = 142,369,221.34
  5. Step 5: Solve for x
    x = 142,369,221.34/13,570.78
  6. Step 6: Final answer
    x = 10,490.87

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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.