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Finding the Fourth Proportional to 8,304.53, 11,460.29 and 4,946.67

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Solution

The fourth proportional to 8,304.53, 11,460.29 and 4,946.67 is: 6,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.53 : 11,460.29 = 4,946.67 : x
  2. Step 2: Convert to fraction form
    8,304.53/11,460.29 = 4,946.67/x
  3. Step 3: Cross multiply
    8,304.53x = 11,460.29 × 4,946.67
  4. Step 4: Simplify right side
    8,304.53x = 56,690,248.00
  5. Step 5: Solve for x
    x = 56,690,248.00/8,304.53
  6. Step 6: Final answer
    x = 6,826.43

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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.