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Finding the Fourth Proportional to 7,771.86, 10,725.42 and 4,235.16

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Solution

The fourth proportional to 7,771.86, 10,725.42 and 4,235.16 is: 5,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.86 : 10,725.42 = 4,235.16 : x
  2. Step 2: Convert to fraction form
    7,771.86/10,725.42 = 4,235.16/x
  3. Step 3: Cross multiply
    7,771.86x = 10,725.42 × 4,235.16
  4. Step 4: Simplify right side
    7,771.86x = 45,423,869.77
  5. Step 5: Solve for x
    x = 45,423,869.77/7,771.86
  6. Step 6: Final answer
    x = 5,844.66

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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.