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Finding the Fourth Proportional to 4,926.77, 7,390.08 and 1,416.86

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Solution

The fourth proportional to 4,926.77, 7,390.08 and 1,416.86 is: 2,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.77 : 7,390.08 = 1,416.86 : x
  2. Step 2: Convert to fraction form
    4,926.77/7,390.08 = 1,416.86/x
  3. Step 3: Cross multiply
    4,926.77x = 7,390.08 × 1,416.86
  4. Step 4: Simplify right side
    4,926.77x = 10,470,671.80
  5. Step 5: Solve for x
    x = 10,470,671.80/4,926.77
  6. Step 6: Final answer
    x = 2,125.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.