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Finding the Fourth Proportional to 30,679.40, 46,019.68 and 9,618.98

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Solution

The fourth proportional to 30,679.40, 46,019.68 and 9,618.98 is: 14,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,679.40 : 46,019.68 = 9,618.98 : x
  2. Step 2: Convert to fraction form
    30,679.40/46,019.68 = 9,618.98/x
  3. Step 3: Cross multiply
    30,679.40x = 46,019.68 × 9,618.98
  4. Step 4: Simplify right side
    30,679.40x = 442,662,127.38
  5. Step 5: Solve for x
    x = 442,662,127.38/30,679.40
  6. Step 6: Final answer
    x = 14,428.64

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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.