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Finding the Fourth Proportional to 15,838.65, 23,739.86 and 7,506.86

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Solution

The fourth proportional to 15,838.65, 23,739.86 and 7,506.86 is: 11,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.65 : 23,739.86 = 7,506.86 : x
  2. Step 2: Convert to fraction form
    15,838.65/23,739.86 = 7,506.86/x
  3. Step 3: Cross multiply
    15,838.65x = 23,739.86 × 7,506.86
  4. Step 4: Simplify right side
    15,838.65x = 178,211,649.21
  5. Step 5: Solve for x
    x = 178,211,649.21/15,838.65
  6. Step 6: Final answer
    x = 11,251.69

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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.