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Finding the Fourth Proportional to 9,305.76, 12,842.52 and 6,156.48

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Solution

The fourth proportional to 9,305.76, 12,842.52 and 6,156.48 is: 8,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.76 : 12,842.52 = 6,156.48 : x
  2. Step 2: Convert to fraction form
    9,305.76/12,842.52 = 6,156.48/x
  3. Step 3: Cross multiply
    9,305.76x = 12,842.52 × 6,156.48
  4. Step 4: Simplify right side
    9,305.76x = 79,064,717.53
  5. Step 5: Solve for x
    x = 79,064,717.53/9,305.76
  6. Step 6: Final answer
    x = 8,496.32

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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.