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Finding the Fourth Proportional to 4,661.86, 6,994.01 and 1,740.19

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Solution

The fourth proportional to 4,661.86, 6,994.01 and 1,740.19 is: 2,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.86 : 6,994.01 = 1,740.19 : x
  2. Step 2: Convert to fraction form
    4,661.86/6,994.01 = 1,740.19/x
  3. Step 3: Cross multiply
    4,661.86x = 6,994.01 × 1,740.19
  4. Step 4: Simplify right side
    4,661.86x = 12,170,897.56
  5. Step 5: Solve for x
    x = 12,170,897.56/4,661.86
  6. Step 6: Final answer
    x = 2,610.74

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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.