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Finding the Fourth Proportional to 6,654.40, 9,970.80 and 4,184.80

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Solution

The fourth proportional to 6,654.40, 9,970.80 and 4,184.80 is: 6,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.40 : 9,970.80 = 4,184.80 : x
  2. Step 2: Convert to fraction form
    6,654.40/9,970.80 = 4,184.80/x
  3. Step 3: Cross multiply
    6,654.40x = 9,970.80 × 4,184.80
  4. Step 4: Simplify right side
    6,654.40x = 41,725,803.84
  5. Step 5: Solve for x
    x = 41,725,803.84/6,654.40
  6. Step 6: Final answer
    x = 6,270.41

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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.