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Finding the Fourth Proportional to 7,416, 10,234.08 and 4,274.01

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Solution

The fourth proportional to 7,416, 10,234.08 and 4,274.01 is: 5,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416 : 10,234.08 = 4,274.01 : x
  2. Step 2: Convert to fraction form
    7,416/10,234.08 = 4,274.01/x
  3. Step 3: Cross multiply
    7,416x = 10,234.08 × 4,274.01
  4. Step 4: Simplify right side
    7,416x = 43,740,560.26
  5. Step 5: Solve for x
    x = 43,740,560.26/7,416
  6. Step 6: Final answer
    x = 5,898.13

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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.