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Finding the Fourth Proportional to 9,883.34, 13,640.24 and 6,483.20

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Solution

The fourth proportional to 9,883.34, 13,640.24 and 6,483.20 is: 8,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.34 : 13,640.24 = 6,483.20 : x
  2. Step 2: Convert to fraction form
    9,883.34/13,640.24 = 6,483.20/x
  3. Step 3: Cross multiply
    9,883.34x = 13,640.24 × 6,483.20
  4. Step 4: Simplify right side
    9,883.34x = 88,432,303.35
  5. Step 5: Solve for x
    x = 88,432,303.35/9,883.34
  6. Step 6: Final answer
    x = 8,947.62

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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.