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Finding the Fourth Proportional to 7,696.62, 10,614.24 and 5,774.76

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Solution

The fourth proportional to 7,696.62, 10,614.24 and 5,774.76 is: 7,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.62 : 10,614.24 = 5,774.76 : x
  2. Step 2: Convert to fraction form
    7,696.62/10,614.24 = 5,774.76/x
  3. Step 3: Cross multiply
    7,696.62x = 10,614.24 × 5,774.76
  4. Step 4: Simplify right side
    7,696.62x = 61,294,688.58
  5. Step 5: Solve for x
    x = 61,294,688.58/7,696.62
  6. Step 6: Final answer
    x = 7,963.84

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Half scale
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Double scale
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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.