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Finding the Fourth Proportional to 5,148.40, 7,706.40 and 4,046.80

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Solution

The fourth proportional to 5,148.40, 7,706.40 and 4,046.80 is: 6,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.40 : 7,706.40 = 4,046.80 : x
  2. Step 2: Convert to fraction form
    5,148.40/7,706.40 = 4,046.80/x
  3. Step 3: Cross multiply
    5,148.40x = 7,706.40 × 4,046.80
  4. Step 4: Simplify right side
    5,148.40x = 31,186,259.52
  5. Step 5: Solve for x
    x = 31,186,259.52/5,148.40
  6. Step 6: Final answer
    x = 6,057.47

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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.