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Finding the Fourth Proportional to 12,148.76, 16,765.86 and 6,844.16

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Solution

The fourth proportional to 12,148.76, 16,765.86 and 6,844.16 is: 9,445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.76 : 16,765.86 = 6,844.16 : x
  2. Step 2: Convert to fraction form
    12,148.76/16,765.86 = 6,844.16/x
  3. Step 3: Cross multiply
    12,148.76x = 16,765.86 × 6,844.16
  4. Step 4: Simplify right side
    12,148.76x = 114,748,228.38
  5. Step 5: Solve for x
    x = 114,748,228.38/12,148.76
  6. Step 6: Final answer
    x = 9,445.26

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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.