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Finding the Fourth Proportional to 6,709.74, 9,254.62 and 4,156.67

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Solution

The fourth proportional to 6,709.74, 9,254.62 and 4,156.67 is: 5,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.74 : 9,254.62 = 4,156.67 : x
  2. Step 2: Convert to fraction form
    6,709.74/9,254.62 = 4,156.67/x
  3. Step 3: Cross multiply
    6,709.74x = 9,254.62 × 4,156.67
  4. Step 4: Simplify right side
    6,709.74x = 38,468,334.26
  5. Step 5: Solve for x
    x = 38,468,334.26/6,709.74
  6. Step 6: Final answer
    x = 5,733.21

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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.