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Finding the Fourth Proportional to 9,635.71, 13,295.05 and 5,656.63

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Solution

The fourth proportional to 9,635.71, 13,295.05 and 5,656.63 is: 7,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.71 : 13,295.05 = 5,656.63 : x
  2. Step 2: Convert to fraction form
    9,635.71/13,295.05 = 5,656.63/x
  3. Step 3: Cross multiply
    9,635.71x = 13,295.05 × 5,656.63
  4. Step 4: Simplify right side
    9,635.71x = 75,205,178.68
  5. Step 5: Solve for x
    x = 75,205,178.68/9,635.71
  6. Step 6: Final answer
    x = 7,804.84

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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.