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Finding the Fourth Proportional to 9,797.05, 13,523 and 6,260.28

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Solution

The fourth proportional to 9,797.05, 13,523 and 6,260.28 is: 8,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.05 : 13,523 = 6,260.28 : x
  2. Step 2: Convert to fraction form
    9,797.05/13,523 = 6,260.28/x
  3. Step 3: Cross multiply
    9,797.05x = 13,523 × 6,260.28
  4. Step 4: Simplify right side
    9,797.05x = 84,657,766.44
  5. Step 5: Solve for x
    x = 84,657,766.44/9,797.05
  6. Step 6: Final answer
    x = 8,641.15

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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.