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Finding the Fourth Proportional to 7,000.10, 10,448.93 and 6,169.75

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Solution

The fourth proportional to 7,000.10, 10,448.93 and 6,169.75 is: 9,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.10 : 10,448.93 = 6,169.75 : x
  2. Step 2: Convert to fraction form
    7,000.10/10,448.93 = 6,169.75/x
  3. Step 3: Cross multiply
    7,000.10x = 10,448.93 × 6,169.75
  4. Step 4: Simplify right side
    7,000.10x = 64,467,255.02
  5. Step 5: Solve for x
    x = 64,467,255.02/7,000.10
  6. Step 6: Final answer
    x = 9,209.48

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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.