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Finding the Fourth Proportional to 30,898.46, 46,347.70 and 7,524.68

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Solution

The fourth proportional to 30,898.46, 46,347.70 and 7,524.68 is: 11,287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.46 : 46,347.70 = 7,524.68 : x
  2. Step 2: Convert to fraction form
    30,898.46/46,347.70 = 7,524.68/x
  3. Step 3: Cross multiply
    30,898.46x = 46,347.70 × 7,524.68
  4. Step 4: Simplify right side
    30,898.46x = 348,751,611.24
  5. Step 5: Solve for x
    x = 348,751,611.24/30,898.46
  6. Step 6: Final answer
    x = 11,287.02

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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.