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Finding the Fourth Proportional to 7,774.96, 10,720.98 and 5,252.69

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Solution

The fourth proportional to 7,774.96, 10,720.98 and 5,252.69 is: 7,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.96 : 10,720.98 = 5,252.69 : x
  2. Step 2: Convert to fraction form
    7,774.96/10,720.98 = 5,252.69/x
  3. Step 3: Cross multiply
    7,774.96x = 10,720.98 × 5,252.69
  4. Step 4: Simplify right side
    7,774.96x = 56,313,958.17
  5. Step 5: Solve for x
    x = 56,313,958.17/7,774.96
  6. Step 6: Final answer
    x = 7,242.99

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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.