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Finding the Fourth Proportional to 9,856.25, 13,602.18 and 5,664.77

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Solution

The fourth proportional to 9,856.25, 13,602.18 and 5,664.77 is: 7,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.25 : 13,602.18 = 5,664.77 : x
  2. Step 2: Convert to fraction form
    9,856.25/13,602.18 = 5,664.77/x
  3. Step 3: Cross multiply
    9,856.25x = 13,602.18 × 5,664.77
  4. Step 4: Simplify right side
    9,856.25x = 77,053,221.20
  5. Step 5: Solve for x
    x = 77,053,221.20/9,856.25
  6. Step 6: Final answer
    x = 7,817.70

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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.