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Finding the Fourth Proportional to 9,184.72, 12,642.24 and 7,676.08

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Solution

The fourth proportional to 9,184.72, 12,642.24 and 7,676.08 is: 10,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.72 : 12,642.24 = 7,676.08 : x
  2. Step 2: Convert to fraction form
    9,184.72/12,642.24 = 7,676.08/x
  3. Step 3: Cross multiply
    9,184.72x = 12,642.24 × 7,676.08
  4. Step 4: Simplify right side
    9,184.72x = 97,042,845.62
  5. Step 5: Solve for x
    x = 97,042,845.62/9,184.72
  6. Step 6: Final answer
    x = 10,565.68

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Double scale
Find fourth proportional to 9,185.72, 12,643.62 and 7,677.08
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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.