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Finding the Fourth Proportional to 9,498.53, 14,212.87 and 5,928.26

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Solution

The fourth proportional to 9,498.53, 14,212.87 and 5,928.26 is: 8,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.53 : 14,212.87 = 5,928.26 : x
  2. Step 2: Convert to fraction form
    9,498.53/14,212.87 = 5,928.26/x
  3. Step 3: Cross multiply
    9,498.53x = 14,212.87 × 5,928.26
  4. Step 4: Simplify right side
    9,498.53x = 84,257,502.82
  5. Step 5: Solve for x
    x = 84,257,502.82/9,498.53
  6. Step 6: Final answer
    x = 8,870.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.