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Finding the Fourth Proportional to 7,774.74, 11,662.08 and 6,473.46

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Solution

The fourth proportional to 7,774.74, 11,662.08 and 6,473.46 is: 9,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.74 : 11,662.08 = 6,473.46 : x
  2. Step 2: Convert to fraction form
    7,774.74/11,662.08 = 6,473.46/x
  3. Step 3: Cross multiply
    7,774.74x = 11,662.08 × 6,473.46
  4. Step 4: Simplify right side
    7,774.74x = 75,494,008.40
  5. Step 5: Solve for x
    x = 75,494,008.40/7,774.74
  6. Step 6: Final answer
    x = 9,710.17

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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.