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Finding the Fourth Proportional to 7,648.74, 11,472.93 and 4,506.11

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Solution

The fourth proportional to 7,648.74, 11,472.93 and 4,506.11 is: 6,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.74 : 11,472.93 = 4,506.11 : x
  2. Step 2: Convert to fraction form
    7,648.74/11,472.93 = 4,506.11/x
  3. Step 3: Cross multiply
    7,648.74x = 11,472.93 × 4,506.11
  4. Step 4: Simplify right side
    7,648.74x = 51,698,280.60
  5. Step 5: Solve for x
    x = 51,698,280.60/7,648.74
  6. Step 6: Final answer
    x = 6,759.06

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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.