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Finding the Fourth Proportional to 7,166.50, 9,859.19 and 7,000.65

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Solution

The fourth proportional to 7,166.50, 9,859.19 and 7,000.65 is: 9,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.50 : 9,859.19 = 7,000.65 : x
  2. Step 2: Convert to fraction form
    7,166.50/9,859.19 = 7,000.65/x
  3. Step 3: Cross multiply
    7,166.50x = 9,859.19 × 7,000.65
  4. Step 4: Simplify right side
    7,166.50x = 69,020,703.47
  5. Step 5: Solve for x
    x = 69,020,703.47/7,166.50
  6. Step 6: Final answer
    x = 9,631.02

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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.