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Finding the Fourth Proportional to 9,783.60, 13,498.07 and 6,248.85

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Solution

The fourth proportional to 9,783.60, 13,498.07 and 6,248.85 is: 8,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.60 : 13,498.07 = 6,248.85 : x
  2. Step 2: Convert to fraction form
    9,783.60/13,498.07 = 6,248.85/x
  3. Step 3: Cross multiply
    9,783.60x = 13,498.07 × 6,248.85
  4. Step 4: Simplify right side
    9,783.60x = 84,347,383.48
  5. Step 5: Solve for x
    x = 84,347,383.48/9,783.60
  6. Step 6: Final answer
    x = 8,621.30

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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.