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Finding the Fourth Proportional to 7,070.74, 9,760.25 and 6,072.01

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Solution

The fourth proportional to 7,070.74, 9,760.25 and 6,072.01 is: 8,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.74 : 9,760.25 = 6,072.01 : x
  2. Step 2: Convert to fraction form
    7,070.74/9,760.25 = 6,072.01/x
  3. Step 3: Cross multiply
    7,070.74x = 9,760.25 × 6,072.01
  4. Step 4: Simplify right side
    7,070.74x = 59,264,335.60
  5. Step 5: Solve for x
    x = 59,264,335.60/7,070.74
  6. Step 6: Final answer
    x = 8,381.63

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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.