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Finding the Fourth Proportional to 7,000.10, 9,658.07 and 4,166.05

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Solution

The fourth proportional to 7,000.10, 9,658.07 and 4,166.05 is: 5,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.10 : 9,658.07 = 4,166.05 : x
  2. Step 2: Convert to fraction form
    7,000.10/9,658.07 = 4,166.05/x
  3. Step 3: Cross multiply
    7,000.10x = 9,658.07 × 4,166.05
  4. Step 4: Simplify right side
    7,000.10x = 40,235,968.11
  5. Step 5: Solve for x
    x = 40,235,968.11/7,000.10
  6. Step 6: Final answer
    x = 5,747.92

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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.