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Finding the Fourth Proportional to 3,063.58, 4,595.62 and 983.86

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Solution

The fourth proportional to 3,063.58, 4,595.62 and 983.86 is: 1,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.58 : 4,595.62 = 983.86 : x
  2. Step 2: Convert to fraction form
    3,063.58/4,595.62 = 983.86/x
  3. Step 3: Cross multiply
    3,063.58x = 4,595.62 × 983.86
  4. Step 4: Simplify right side
    3,063.58x = 4,521,446.69
  5. Step 5: Solve for x
    x = 4,521,446.69/3,063.58
  6. Step 6: Final answer
    x = 1,475.87

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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.