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Finding the Fourth Proportional to 7,706.60, 11,559.90 and 3,264.97

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Solution

The fourth proportional to 7,706.60, 11,559.90 and 3,264.97 is: 4,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.60 : 11,559.90 = 3,264.97 : x
  2. Step 2: Convert to fraction form
    7,706.60/11,559.90 = 3,264.97/x
  3. Step 3: Cross multiply
    7,706.60x = 11,559.90 × 3,264.97
  4. Step 4: Simplify right side
    7,706.60x = 37,742,710.05
  5. Step 5: Solve for x
    x = 37,742,710.05/7,706.60
  6. Step 6: Final answer
    x = 4,897.45

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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.