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Finding the Fourth Proportional to 9,765.06, 13,477.78 and 6,622.26

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Solution

The fourth proportional to 9,765.06, 13,477.78 and 6,622.26 is: 9,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.06 : 13,477.78 = 6,622.26 : x
  2. Step 2: Convert to fraction form
    9,765.06/13,477.78 = 6,622.26/x
  3. Step 3: Cross multiply
    9,765.06x = 13,477.78 × 6,622.26
  4. Step 4: Simplify right side
    9,765.06x = 89,253,363.38
  5. Step 5: Solve for x
    x = 89,253,363.38/9,765.06
  6. Step 6: Final answer
    x = 9,140.07

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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.