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Finding the Fourth Proportional to 9,783.66, 13,499.48 and 6,200.03

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Solution

The fourth proportional to 9,783.66, 13,499.48 and 6,200.03 is: 8,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.66 : 13,499.48 = 6,200.03 : x
  2. Step 2: Convert to fraction form
    9,783.66/13,499.48 = 6,200.03/x
  3. Step 3: Cross multiply
    9,783.66x = 13,499.48 × 6,200.03
  4. Step 4: Simplify right side
    9,783.66x = 83,697,082.49
  5. Step 5: Solve for x
    x = 83,697,082.49/9,783.66
  6. Step 6: Final answer
    x = 8,554.78

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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.