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Finding the Fourth Proportional to 7,656.48, 11,482.29 and 2,976.17

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Solution

The fourth proportional to 7,656.48, 11,482.29 and 2,976.17 is: 4,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.48 : 11,482.29 = 2,976.17 : x
  2. Step 2: Convert to fraction form
    7,656.48/11,482.29 = 2,976.17/x
  3. Step 3: Cross multiply
    7,656.48x = 11,482.29 × 2,976.17
  4. Step 4: Simplify right side
    7,656.48x = 34,173,189.62
  5. Step 5: Solve for x
    x = 34,173,189.62/7,656.48
  6. Step 6: Final answer
    x = 4,463.30

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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.