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Finding the Fourth Proportional to 9,817.64, 14,698.42 and 9,196.91

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Solution

The fourth proportional to 9,817.64, 14,698.42 and 9,196.91 is: 13,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.64 : 14,698.42 = 9,196.91 : x
  2. Step 2: Convert to fraction form
    9,817.64/14,698.42 = 9,196.91/x
  3. Step 3: Cross multiply
    9,817.64x = 14,698.42 × 9,196.91
  4. Step 4: Simplify right side
    9,817.64x = 135,180,045.88
  5. Step 5: Solve for x
    x = 135,180,045.88/9,817.64
  6. Step 6: Final answer
    x = 13,769.10

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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.