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Finding the Fourth Proportional to 7,564.70, 11,330.85 and 6,106.70

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Solution

The fourth proportional to 7,564.70, 11,330.85 and 6,106.70 is: 9,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.70 : 11,330.85 = 6,106.70 : x
  2. Step 2: Convert to fraction form
    7,564.70/11,330.85 = 6,106.70/x
  3. Step 3: Cross multiply
    7,564.70x = 11,330.85 × 6,106.70
  4. Step 4: Simplify right side
    7,564.70x = 69,194,101.70
  5. Step 5: Solve for x
    x = 69,194,101.70/7,564.70
  6. Step 6: Final answer
    x = 9,146.97

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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.