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Finding the Fourth Proportional to 10,778.44, 14,878.18 and 6,802.14

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Solution

The fourth proportional to 10,778.44, 14,878.18 and 6,802.14 is: 9,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.44 : 14,878.18 = 6,802.14 : x
  2. Step 2: Convert to fraction form
    10,778.44/14,878.18 = 6,802.14/x
  3. Step 3: Cross multiply
    10,778.44x = 14,878.18 × 6,802.14
  4. Step 4: Simplify right side
    10,778.44x = 101,203,463.31
  5. Step 5: Solve for x
    x = 101,203,463.31/10,778.44
  6. Step 6: Final answer
    x = 9,389.44

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Half 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.