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Finding the Fourth Proportional to 6,924, 10,386.18 and 2,307

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Solution

The fourth proportional to 6,924, 10,386.18 and 2,307 is: 3,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924 : 10,386.18 = 2,307 : x
  2. Step 2: Convert to fraction form
    6,924/10,386.18 = 2,307/x
  3. Step 3: Cross multiply
    6,924x = 10,386.18 × 2,307
  4. Step 4: Simplify right side
    6,924x = 23,960,917.26
  5. Step 5: Solve for x
    x = 23,960,917.26/6,924
  6. Step 6: Final answer
    x = 3,460.56

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.