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Finding the Fourth Proportional to 10,005.53, 14,995.99 and 5,613.76

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Solution

The fourth proportional to 10,005.53, 14,995.99 and 5,613.76 is: 8,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.53 : 14,995.99 = 5,613.76 : x
  2. Step 2: Convert to fraction form
    10,005.53/14,995.99 = 5,613.76/x
  3. Step 3: Cross multiply
    10,005.53x = 14,995.99 × 5,613.76
  4. Step 4: Simplify right side
    10,005.53x = 84,183,798.65
  5. Step 5: Solve for x
    x = 84,183,798.65/10,005.53
  6. Step 6: Final answer
    x = 8,413.73

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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.