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Finding the Fourth Proportional to 4,491.75, 6,702.49 and 4,024.77

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Solution

The fourth proportional to 4,491.75, 6,702.49 and 4,024.77 is: 6,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.75 : 6,702.49 = 4,024.77 : x
  2. Step 2: Convert to fraction form
    4,491.75/6,702.49 = 4,024.77/x
  3. Step 3: Cross multiply
    4,491.75x = 6,702.49 × 4,024.77
  4. Step 4: Simplify right side
    4,491.75x = 26,975,927.04
  5. Step 5: Solve for x
    x = 26,975,927.04/4,491.75
  6. Step 6: Final answer
    x = 6,005.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.