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Finding the Fourth Proportional to 9,646.72, 13,310.88 and 6,061.12

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Solution

The fourth proportional to 9,646.72, 13,310.88 and 6,061.12 is: 8,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.72 : 13,310.88 = 6,061.12 : x
  2. Step 2: Convert to fraction form
    9,646.72/13,310.88 = 6,061.12/x
  3. Step 3: Cross multiply
    9,646.72x = 13,310.88 × 6,061.12
  4. Step 4: Simplify right side
    9,646.72x = 80,678,840.99
  5. Step 5: Solve for x
    x = 80,678,840.99/9,646.72
  6. Step 6: Final answer
    x = 8,363.34

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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.