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Finding the Fourth Proportional to 7,693.44, 10,596.24 and 6,643.68

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Solution

The fourth proportional to 7,693.44, 10,596.24 and 6,643.68 is: 9,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.44 : 10,596.24 = 6,643.68 : x
  2. Step 2: Convert to fraction form
    7,693.44/10,596.24 = 6,643.68/x
  3. Step 3: Cross multiply
    7,693.44x = 10,596.24 × 6,643.68
  4. Step 4: Simplify right side
    7,693.44x = 70,398,027.76
  5. Step 5: Solve for x
    x = 70,398,027.76/7,693.44
  6. Step 6: Final answer
    x = 9,150.40

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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.