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Finding the Fourth Proportional to 7,064.72, 9,750.28 and 4,271.12

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Solution

The fourth proportional to 7,064.72, 9,750.28 and 4,271.12 is: 5,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.72 : 9,750.28 = 4,271.12 : x
  2. Step 2: Convert to fraction form
    7,064.72/9,750.28 = 4,271.12/x
  3. Step 3: Cross multiply
    7,064.72x = 9,750.28 × 4,271.12
  4. Step 4: Simplify right side
    7,064.72x = 41,644,615.91
  5. Step 5: Solve for x
    x = 41,644,615.91/7,064.72
  6. Step 6: Final answer
    x = 5,894.73

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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.