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Finding the Fourth Proportional to 6,970.36, 9,619.71 and 3,827.20

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Solution

The fourth proportional to 6,970.36, 9,619.71 and 3,827.20 is: 5,281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.36 : 9,619.71 = 3,827.20 : x
  2. Step 2: Convert to fraction form
    6,970.36/9,619.71 = 3,827.20/x
  3. Step 3: Cross multiply
    6,970.36x = 9,619.71 × 3,827.20
  4. Step 4: Simplify right side
    6,970.36x = 36,816,554.11
  5. Step 5: Solve for x
    x = 36,816,554.11/6,970.36
  6. Step 6: Final answer
    x = 5,281.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.