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Finding the Fourth Proportional to 9,843.18, 14,748.34 and 6,916.25

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Solution

The fourth proportional to 9,843.18, 14,748.34 and 6,916.25 is: 10,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.18 : 14,748.34 = 6,916.25 : x
  2. Step 2: Convert to fraction form
    9,843.18/14,748.34 = 6,916.25/x
  3. Step 3: Cross multiply
    9,843.18x = 14,748.34 × 6,916.25
  4. Step 4: Simplify right side
    9,843.18x = 102,003,136.66
  5. Step 5: Solve for x
    x = 102,003,136.66/9,843.18
  6. Step 6: Final answer
    x = 10,362.82

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1.5x scale

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.