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Finding the Fourth Proportional to 14,648.34, 20,203.02 and 9,472.44

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Solution

The fourth proportional to 14,648.34, 20,203.02 and 9,472.44 is: 13,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.34 : 20,203.02 = 9,472.44 : x
  2. Step 2: Convert to fraction form
    14,648.34/20,203.02 = 9,472.44/x
  3. Step 3: Cross multiply
    14,648.34x = 20,203.02 × 9,472.44
  4. Step 4: Simplify right side
    14,648.34x = 191,371,970.53
  5. Step 5: Solve for x
    x = 191,371,970.53/14,648.34
  6. Step 6: Final answer
    x = 13,064.41

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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.