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Finding the Fourth Proportional to 9,800.16, 14,698.71 and 3,225.78

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Solution

The fourth proportional to 9,800.16, 14,698.71 and 3,225.78 is: 4,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.16 : 14,698.71 = 3,225.78 : x
  2. Step 2: Convert to fraction form
    9,800.16/14,698.71 = 3,225.78/x
  3. Step 3: Cross multiply
    9,800.16x = 14,698.71 × 3,225.78
  4. Step 4: Simplify right side
    9,800.16x = 47,414,804.74
  5. Step 5: Solve for x
    x = 47,414,804.74/9,800.16
  6. Step 6: Final answer
    x = 4,838.17

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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.