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Finding the Fourth Proportional to 9,470.12, 14,202.86 and 4,202.20

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Solution

The fourth proportional to 9,470.12, 14,202.86 and 4,202.20 is: 6,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.12 : 14,202.86 = 4,202.20 : x
  2. Step 2: Convert to fraction form
    9,470.12/14,202.86 = 4,202.20/x
  3. Step 3: Cross multiply
    9,470.12x = 14,202.86 × 4,202.20
  4. Step 4: Simplify right side
    9,470.12x = 59,683,258.29
  5. Step 5: Solve for x
    x = 59,683,258.29/9,470.12
  6. Step 6: Final answer
    x = 6,302.27

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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.