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Finding the Fourth Proportional to 6,805.51, 10,204.05 and 4,462.67

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Solution

The fourth proportional to 6,805.51, 10,204.05 and 4,462.67 is: 6,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.51 : 10,204.05 = 4,462.67 : x
  2. Step 2: Convert to fraction form
    6,805.51/10,204.05 = 4,462.67/x
  3. Step 3: Cross multiply
    6,805.51x = 10,204.05 × 4,462.67
  4. Step 4: Simplify right side
    6,805.51x = 45,537,307.81
  5. Step 5: Solve for x
    x = 45,537,307.81/6,805.51
  6. Step 6: Final answer
    x = 6,691.24

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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.