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Finding the Fourth Proportional to 9,611.48, 14,353.46 and 8,298.47

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Solution

The fourth proportional to 9,611.48, 14,353.46 and 8,298.47 is: 12,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.48 : 14,353.46 = 8,298.47 : x
  2. Step 2: Convert to fraction form
    9,611.48/14,353.46 = 8,298.47/x
  3. Step 3: Cross multiply
    9,611.48x = 14,353.46 × 8,298.47
  4. Step 4: Simplify right side
    9,611.48x = 119,111,757.21
  5. Step 5: Solve for x
    x = 119,111,757.21/9,611.48
  6. Step 6: Final answer
    x = 12,392.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.