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Finding the Fourth Proportional to 8,304.64, 11,460.32 and 4,768.96

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Solution

The fourth proportional to 8,304.64, 11,460.32 and 4,768.96 is: 6,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.64 : 11,460.32 = 4,768.96 : x
  2. Step 2: Convert to fraction form
    8,304.64/11,460.32 = 4,768.96/x
  3. Step 3: Cross multiply
    8,304.64x = 11,460.32 × 4,768.96
  4. Step 4: Simplify right side
    8,304.64x = 54,653,807.67
  5. Step 5: Solve for x
    x = 54,653,807.67/8,304.64
  6. Step 6: Final answer
    x = 6,581.12

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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.