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Finding the Fourth Proportional to 9,600.90, 14,358.15 and 8,045.70

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Solution

The fourth proportional to 9,600.90, 14,358.15 and 8,045.70 is: 12,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.90 : 14,358.15 = 8,045.70 : x
  2. Step 2: Convert to fraction form
    9,600.90/14,358.15 = 8,045.70/x
  3. Step 3: Cross multiply
    9,600.90x = 14,358.15 × 8,045.70
  4. Step 4: Simplify right side
    9,600.90x = 115,521,367.46
  5. Step 5: Solve for x
    x = 115,521,367.46/9,600.90
  6. Step 6: Final answer
    x = 12,032.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.