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Finding the Fourth Proportional to 9,797.66, 13,520.65 and 5,548.60

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Solution

The fourth proportional to 9,797.66, 13,520.65 and 5,548.60 is: 7,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.66 : 13,520.65 = 5,548.60 : x
  2. Step 2: Convert to fraction form
    9,797.66/13,520.65 = 5,548.60/x
  3. Step 3: Cross multiply
    9,797.66x = 13,520.65 × 5,548.60
  4. Step 4: Simplify right side
    9,797.66x = 75,020,664.72
  5. Step 5: Solve for x
    x = 75,020,664.72/9,797.66
  6. Step 6: Final answer
    x = 7,657.00

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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.