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Finding the Fourth Proportional to 11,482.66, 15,843.15 and 7,006.12

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Solution

The fourth proportional to 11,482.66, 15,843.15 and 7,006.12 is: 9,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.66 : 15,843.15 = 7,006.12 : x
  2. Step 2: Convert to fraction form
    11,482.66/15,843.15 = 7,006.12/x
  3. Step 3: Cross multiply
    11,482.66x = 15,843.15 × 7,006.12
  4. Step 4: Simplify right side
    11,482.66x = 110,999,010.08
  5. Step 5: Solve for x
    x = 110,999,010.08/11,482.66
  6. Step 6: Final answer
    x = 9,666.66

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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.