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Finding the Fourth Proportional to 12,099.45, 16,703.33 and 7,564.65

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Solution

The fourth proportional to 12,099.45, 16,703.33 and 7,564.65 is: 10,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.45 : 16,703.33 = 7,564.65 : x
  2. Step 2: Convert to fraction form
    12,099.45/16,703.33 = 7,564.65/x
  3. Step 3: Cross multiply
    12,099.45x = 16,703.33 × 7,564.65
  4. Step 4: Simplify right side
    12,099.45x = 126,354,807.46
  5. Step 5: Solve for x
    x = 126,354,807.46/12,099.45
  6. Step 6: Final answer
    x = 10,443.02

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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.