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Finding the Fourth Proportional to 7,079.81, 9,770.63 and 4,096.58

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Solution

The fourth proportional to 7,079.81, 9,770.63 and 4,096.58 is: 5,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,079.81 : 9,770.63 = 4,096.58 : x
  2. Step 2: Convert to fraction form
    7,079.81/9,770.63 = 4,096.58/x
  3. Step 3: Cross multiply
    7,079.81x = 9,770.63 × 4,096.58
  4. Step 4: Simplify right side
    7,079.81x = 40,026,098.11
  5. Step 5: Solve for x
    x = 40,026,098.11/7,079.81
  6. Step 6: Final answer
    x = 5,653.56

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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.