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Finding the Fourth Proportional to 30,677.52, 46,016.16 and 9,619.14

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Solution

The fourth proportional to 30,677.52, 46,016.16 and 9,619.14 is: 14,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.52 : 46,016.16 = 9,619.14 : x
  2. Step 2: Convert to fraction form
    30,677.52/46,016.16 = 9,619.14/x
  3. Step 3: Cross multiply
    30,677.52x = 46,016.16 × 9,619.14
  4. Step 4: Simplify right side
    30,677.52x = 442,635,885.30
  5. Step 5: Solve for x
    x = 442,635,885.30/30,677.52
  6. Step 6: Final answer
    x = 14,428.67

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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.