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Finding the Fourth Proportional to 9,570.71, 13,210.19 and 6,213.35

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Solution

The fourth proportional to 9,570.71, 13,210.19 and 6,213.35 is: 8,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.71 : 13,210.19 = 6,213.35 : x
  2. Step 2: Convert to fraction form
    9,570.71/13,210.19 = 6,213.35/x
  3. Step 3: Cross multiply
    9,570.71x = 13,210.19 × 6,213.35
  4. Step 4: Simplify right side
    9,570.71x = 82,079,436.92
  5. Step 5: Solve for x
    x = 82,079,436.92/9,570.71
  6. Step 6: Final answer
    x = 8,576.11

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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.