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Finding the Fourth Proportional to 6,842.40, 10,266.03 and 4,671.60

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Solution

The fourth proportional to 6,842.40, 10,266.03 and 4,671.60 is: 7,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.40 : 10,266.03 = 4,671.60 : x
  2. Step 2: Convert to fraction form
    6,842.40/10,266.03 = 4,671.60/x
  3. Step 3: Cross multiply
    6,842.40x = 10,266.03 × 4,671.60
  4. Step 4: Simplify right side
    6,842.40x = 47,958,785.75
  5. Step 5: Solve for x
    x = 47,958,785.75/6,842.40
  6. Step 6: Final answer
    x = 7,009.06

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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.