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Finding the Fourth Proportional to 9,083.16, 12,523.86 and 6,561.24

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Solution

The fourth proportional to 9,083.16, 12,523.86 and 6,561.24 is: 9,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.16 : 12,523.86 = 6,561.24 : x
  2. Step 2: Convert to fraction form
    9,083.16/12,523.86 = 6,561.24/x
  3. Step 3: Cross multiply
    9,083.16x = 12,523.86 × 6,561.24
  4. Step 4: Simplify right side
    9,083.16x = 82,172,051.19
  5. Step 5: Solve for x
    x = 82,172,051.19/9,083.16
  6. Step 6: Final answer
    x = 9,046.64

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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.