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Finding the Fourth Proportional to 14,154.75, 19,533.56 and 7,867.13

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Solution

The fourth proportional to 14,154.75, 19,533.56 and 7,867.13 is: 10,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.75 : 19,533.56 = 7,867.13 : x
  2. Step 2: Convert to fraction form
    14,154.75/19,533.56 = 7,867.13/x
  3. Step 3: Cross multiply
    14,154.75x = 19,533.56 × 7,867.13
  4. Step 4: Simplify right side
    14,154.75x = 153,672,918.88
  5. Step 5: Solve for x
    x = 153,672,918.88/14,154.75
  6. Step 6: Final answer
    x = 10,856.63

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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.