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Finding the Fourth Proportional to 9,775.08, 14,678.82 and 5,401.08

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Solution

The fourth proportional to 9,775.08, 14,678.82 and 5,401.08 is: 8,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.08 : 14,678.82 = 5,401.08 : x
  2. Step 2: Convert to fraction form
    9,775.08/14,678.82 = 5,401.08/x
  3. Step 3: Cross multiply
    9,775.08x = 14,678.82 × 5,401.08
  4. Step 4: Simplify right side
    9,775.08x = 79,281,481.13
  5. Step 5: Solve for x
    x = 79,281,481.13/9,775.08
  6. Step 6: Final answer
    x = 8,110.57

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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.