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Finding the Fourth Proportional to 7,663.84, 10,560.24 and 6,165.76

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Solution

The fourth proportional to 7,663.84, 10,560.24 and 6,165.76 is: 8,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.84 : 10,560.24 = 6,165.76 : x
  2. Step 2: Convert to fraction form
    7,663.84/10,560.24 = 6,165.76/x
  3. Step 3: Cross multiply
    7,663.84x = 10,560.24 × 6,165.76
  4. Step 4: Simplify right side
    7,663.84x = 65,111,905.38
  5. Step 5: Solve for x
    x = 65,111,905.38/7,663.84
  6. Step 6: Final answer
    x = 8,495.99

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Half scale
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Double scale
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Similar ratio
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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.