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Finding the Fourth Proportional to 9,363.98, 12,916.65 and 6,176.14

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Solution

The fourth proportional to 9,363.98, 12,916.65 and 6,176.14 is: 8,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.98 : 12,916.65 = 6,176.14 : x
  2. Step 2: Convert to fraction form
    9,363.98/12,916.65 = 6,176.14/x
  3. Step 3: Cross multiply
    9,363.98x = 12,916.65 × 6,176.14
  4. Step 4: Simplify right side
    9,363.98x = 79,775,102.26
  5. Step 5: Solve for x
    x = 79,775,102.26/9,363.98
  6. Step 6: Final answer
    x = 8,519.36

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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.