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Finding the Fourth Proportional to 9,794.40, 14,693.76 and 3,220.32

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Solution

The fourth proportional to 9,794.40, 14,693.76 and 3,220.32 is: 4,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.40 : 14,693.76 = 3,220.32 : x
  2. Step 2: Convert to fraction form
    9,794.40/14,693.76 = 3,220.32/x
  3. Step 3: Cross multiply
    9,794.40x = 14,693.76 × 3,220.32
  4. Step 4: Simplify right side
    9,794.40x = 47,318,609.20
  5. Step 5: Solve for x
    x = 47,318,609.20/9,794.40
  6. Step 6: Final answer
    x = 4,831.19

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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.