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Finding the Fourth Proportional to 9,367.96, 14,042.76 and 7,616.50

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Solution

The fourth proportional to 9,367.96, 14,042.76 and 7,616.50 is: 11,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.96 : 14,042.76 = 7,616.50 : x
  2. Step 2: Convert to fraction form
    9,367.96/14,042.76 = 7,616.50/x
  3. Step 3: Cross multiply
    9,367.96x = 14,042.76 × 7,616.50
  4. Step 4: Simplify right side
    9,367.96x = 106,956,681.54
  5. Step 5: Solve for x
    x = 106,956,681.54/9,367.96
  6. Step 6: Final answer
    x = 11,417.29

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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.