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Finding the Fourth Proportional to 8,304.90, 11,459.64 and 4,768.29

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Solution

The fourth proportional to 8,304.90, 11,459.64 and 4,768.29 is: 6,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.90 : 11,459.64 = 4,768.29 : x
  2. Step 2: Convert to fraction form
    8,304.90/11,459.64 = 4,768.29/x
  3. Step 3: Cross multiply
    8,304.90x = 11,459.64 × 4,768.29
  4. Step 4: Simplify right side
    8,304.90x = 54,642,886.82
  5. Step 5: Solve for x
    x = 54,642,886.82/8,304.90
  6. Step 6: Final answer
    x = 6,579.60

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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.