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Finding the Fourth Proportional to 30,774.66, 46,170.30 and 9,715.56

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Solution

The fourth proportional to 30,774.66, 46,170.30 and 9,715.56 is: 14,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.66 : 46,170.30 = 9,715.56 : x
  2. Step 2: Convert to fraction form
    30,774.66/46,170.30 = 9,715.56/x
  3. Step 3: Cross multiply
    30,774.66x = 46,170.30 × 9,715.56
  4. Step 4: Simplify right side
    30,774.66x = 448,570,319.87
  5. Step 5: Solve for x
    x = 448,570,319.87/30,774.66
  6. Step 6: Final answer
    x = 14,575.96

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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.