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Finding the Fourth Proportional to 10,646.10, 16,048.89 and 9,932.49

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Solution

The fourth proportional to 10,646.10, 16,048.89 and 9,932.49 is: 14,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.10 : 16,048.89 = 9,932.49 : x
  2. Step 2: Convert to fraction form
    10,646.10/16,048.89 = 9,932.49/x
  3. Step 3: Cross multiply
    10,646.10x = 16,048.89 × 9,932.49
  4. Step 4: Simplify right side
    10,646.10x = 159,405,439.44
  5. Step 5: Solve for x
    x = 159,405,439.44/10,646.10
  6. Step 6: Final answer
    x = 14,973.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.