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Finding the Fourth Proportional to 12,442.96, 17,168.34 and 7,064.23

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Solution

The fourth proportional to 12,442.96, 17,168.34 and 7,064.23 is: 9,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.96 : 17,168.34 = 7,064.23 : x
  2. Step 2: Convert to fraction form
    12,442.96/17,168.34 = 7,064.23/x
  3. Step 3: Cross multiply
    12,442.96x = 17,168.34 × 7,064.23
  4. Step 4: Simplify right side
    12,442.96x = 121,281,102.48
  5. Step 5: Solve for x
    x = 121,281,102.48/12,442.96
  6. Step 6: Final answer
    x = 9,746.97

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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.