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Finding the Fourth Proportional to 9,798.49, 13,516.73 and 6,207.11

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Solution

The fourth proportional to 9,798.49, 13,516.73 and 6,207.11 is: 8,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.49 : 13,516.73 = 6,207.11 : x
  2. Step 2: Convert to fraction form
    9,798.49/13,516.73 = 6,207.11/x
  3. Step 3: Cross multiply
    9,798.49x = 13,516.73 × 6,207.11
  4. Step 4: Simplify right side
    9,798.49x = 83,899,783.21
  5. Step 5: Solve for x
    x = 83,899,783.21/9,798.49
  6. Step 6: Final answer
    x = 8,562.53

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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.