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Finding the Fourth Proportional to 7,080.45, 9,772.10 and 4,096.23

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Solution

The fourth proportional to 7,080.45, 9,772.10 and 4,096.23 is: 5,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080.45 : 9,772.10 = 4,096.23 : x
  2. Step 2: Convert to fraction form
    7,080.45/9,772.10 = 4,096.23/x
  3. Step 3: Cross multiply
    7,080.45x = 9,772.10 × 4,096.23
  4. Step 4: Simplify right side
    7,080.45x = 40,028,769.18
  5. Step 5: Solve for x
    x = 40,028,769.18/7,080.45
  6. Step 6: Final answer
    x = 5,653.42

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Half scale
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Double scale
Find fourth proportional to 7,081.45, 9,773.48 and 4,097.23
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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.