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Finding the Fourth Proportional to 9,847.14, 13,587.44 and 5,868.42

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Solution

The fourth proportional to 9,847.14, 13,587.44 and 5,868.42 is: 8,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.14 : 13,587.44 = 5,868.42 : x
  2. Step 2: Convert to fraction form
    9,847.14/13,587.44 = 5,868.42/x
  3. Step 3: Cross multiply
    9,847.14x = 13,587.44 × 5,868.42
  4. Step 4: Simplify right side
    9,847.14x = 79,736,804.64
  5. Step 5: Solve for x
    x = 79,736,804.64/9,847.14
  6. Step 6: Final answer
    x = 8,097.46

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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.