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Finding the Fourth Proportional to 7,005.66, 10,502.22 and 4,798.42

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Solution

The fourth proportional to 7,005.66, 10,502.22 and 4,798.42 is: 7,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.66 : 10,502.22 = 4,798.42 : x
  2. Step 2: Convert to fraction form
    7,005.66/10,502.22 = 4,798.42/x
  3. Step 3: Cross multiply
    7,005.66x = 10,502.22 × 4,798.42
  4. Step 4: Simplify right side
    7,005.66x = 50,394,062.49
  5. Step 5: Solve for x
    x = 50,394,062.49/7,005.66
  6. Step 6: Final answer
    x = 7,193.34

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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.