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Finding the Fourth Proportional to 30,773.74, 46,160.59 and 7,400.18

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Solution

The fourth proportional to 30,773.74, 46,160.59 and 7,400.18 is: 11,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.74 : 46,160.59 = 7,400.18 : x
  2. Step 2: Convert to fraction form
    30,773.74/46,160.59 = 7,400.18/x
  3. Step 3: Cross multiply
    30,773.74x = 46,160.59 × 7,400.18
  4. Step 4: Simplify right side
    30,773.74x = 341,596,674.91
  5. Step 5: Solve for x
    x = 341,596,674.91/30,773.74
  6. Step 6: Final answer
    x = 11,100.27

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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.