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Finding the Fourth Proportional to 30,870.64, 46,305.96 and 7,496.92

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Solution

The fourth proportional to 30,870.64, 46,305.96 and 7,496.92 is: 11,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.64 : 46,305.96 = 7,496.92 : x
  2. Step 2: Convert to fraction form
    30,870.64/46,305.96 = 7,496.92/x
  3. Step 3: Cross multiply
    30,870.64x = 46,305.96 × 7,496.92
  4. Step 4: Simplify right side
    30,870.64x = 347,152,077.64
  5. Step 5: Solve for x
    x = 347,152,077.64/30,870.64
  6. Step 6: Final answer
    x = 11,245.38

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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.