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Finding the Fourth Proportional to 9,847.65, 13,591.52 and 5,869.02

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Solution

The fourth proportional to 9,847.65, 13,591.52 and 5,869.02 is: 8,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.65 : 13,591.52 = 5,869.02 : x
  2. Step 2: Convert to fraction form
    9,847.65/13,591.52 = 5,869.02/x
  3. Step 3: Cross multiply
    9,847.65x = 13,591.52 × 5,869.02
  4. Step 4: Simplify right side
    9,847.65x = 79,768,905.51
  5. Step 5: Solve for x
    x = 79,768,905.51/9,847.65
  6. Step 6: Final answer
    x = 8,100.30

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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.