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Finding the Fourth Proportional to 30,598.92, 45,904.86 and 9,538.38

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Solution

The fourth proportional to 30,598.92, 45,904.86 and 9,538.38 is: 14,309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598.92 : 45,904.86 = 9,538.38 : x
  2. Step 2: Convert to fraction form
    30,598.92/45,904.86 = 9,538.38/x
  3. Step 3: Cross multiply
    30,598.92x = 45,904.86 × 9,538.38
  4. Step 4: Simplify right side
    30,598.92x = 437,857,998.53
  5. Step 5: Solve for x
    x = 437,857,998.53/30,598.92
  6. Step 6: Final answer
    x = 14,309.59

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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.