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Finding the Fourth Proportional to 10,649.95, 14,689.11 and 7,058.41

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Solution

The fourth proportional to 10,649.95, 14,689.11 and 7,058.41 is: 9,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.95 : 14,689.11 = 7,058.41 : x
  2. Step 2: Convert to fraction form
    10,649.95/14,689.11 = 7,058.41/x
  3. Step 3: Cross multiply
    10,649.95x = 14,689.11 × 7,058.41
  4. Step 4: Simplify right side
    10,649.95x = 103,681,760.92
  5. Step 5: Solve for x
    x = 103,681,760.92/10,649.95
  6. Step 6: Final answer
    x = 9,735.42

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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.