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Finding the Fourth Proportional to 9,246.30, 12,776.14 and 8,065.32

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Solution

The fourth proportional to 9,246.30, 12,776.14 and 8,065.32 is: 11,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.30 : 12,776.14 = 8,065.32 : x
  2. Step 2: Convert to fraction form
    9,246.30/12,776.14 = 8,065.32/x
  3. Step 3: Cross multiply
    9,246.30x = 12,776.14 × 8,065.32
  4. Step 4: Simplify right side
    9,246.30x = 103,043,657.46
  5. Step 5: Solve for x
    x = 103,043,657.46/9,246.30
  6. Step 6: Final answer
    x = 11,144.31

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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.