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Finding the Fourth Proportional to 4,977.86, 7,465.37 and 1,689.12

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Solution

The fourth proportional to 4,977.86, 7,465.37 and 1,689.12 is: 2,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.86 : 7,465.37 = 1,689.12 : x
  2. Step 2: Convert to fraction form
    4,977.86/7,465.37 = 1,689.12/x
  3. Step 3: Cross multiply
    4,977.86x = 7,465.37 × 1,689.12
  4. Step 4: Simplify right side
    4,977.86x = 12,609,897.33
  5. Step 5: Solve for x
    x = 12,609,897.33/4,977.86
  6. Step 6: Final answer
    x = 2,533.20

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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.