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Finding the Fourth Proportional to 8,319.78, 11,483.79 and 4,964.94

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Solution

The fourth proportional to 8,319.78, 11,483.79 and 4,964.94 is: 6,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.78 : 11,483.79 = 4,964.94 : x
  2. Step 2: Convert to fraction form
    8,319.78/11,483.79 = 4,964.94/x
  3. Step 3: Cross multiply
    8,319.78x = 11,483.79 × 4,964.94
  4. Step 4: Simplify right side
    8,319.78x = 57,016,328.32
  5. Step 5: Solve for x
    x = 57,016,328.32/8,319.78
  6. Step 6: Final answer
    x = 6,853.11

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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.