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Finding the Fourth Proportional to 6,998.46, 10,503.93 and 6,256.86

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Solution

The fourth proportional to 6,998.46, 10,503.93 and 6,256.86 is: 9,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.46 : 10,503.93 = 6,256.86 : x
  2. Step 2: Convert to fraction form
    6,998.46/10,503.93 = 6,256.86/x
  3. Step 3: Cross multiply
    6,998.46x = 10,503.93 × 6,256.86
  4. Step 4: Simplify right side
    6,998.46x = 65,721,619.46
  5. Step 5: Solve for x
    x = 65,721,619.46/6,998.46
  6. Step 6: Final answer
    x = 9,390.87

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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.