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Finding the Fourth Proportional to 11,482.80, 17,232.84 and 7,776.24

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Solution

The fourth proportional to 11,482.80, 17,232.84 and 7,776.24 is: 11,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.80 : 17,232.84 = 7,776.24 : x
  2. Step 2: Convert to fraction form
    11,482.80/17,232.84 = 7,776.24/x
  3. Step 3: Cross multiply
    11,482.80x = 17,232.84 × 7,776.24
  4. Step 4: Simplify right side
    11,482.80x = 134,006,699.72
  5. Step 5: Solve for x
    x = 134,006,699.72/11,482.80
  6. Step 6: Final answer
    x = 11,670.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.