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Finding the Fourth Proportional to 7,412.76, 10,212.21 and 6,094.08

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Solution

The fourth proportional to 7,412.76, 10,212.21 and 6,094.08 is: 8,395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.76 : 10,212.21 = 6,094.08 : x
  2. Step 2: Convert to fraction form
    7,412.76/10,212.21 = 6,094.08/x
  3. Step 3: Cross multiply
    7,412.76x = 10,212.21 × 6,094.08
  4. Step 4: Simplify right side
    7,412.76x = 62,234,024.72
  5. Step 5: Solve for x
    x = 62,234,024.72/7,412.76
  6. Step 6: Final answer
    x = 8,395.53

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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.