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Finding the Fourth Proportional to 30,727.14, 46,098 and 9,950.64

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Solution

The fourth proportional to 30,727.14, 46,098 and 9,950.64 is: 14,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,727.14 : 46,098 = 9,950.64 : x
  2. Step 2: Convert to fraction form
    30,727.14/46,098 = 9,950.64/x
  3. Step 3: Cross multiply
    30,727.14x = 46,098 × 9,950.64
  4. Step 4: Simplify right side
    30,727.14x = 458,704,602.72
  5. Step 5: Solve for x
    x = 458,704,602.72/30,727.14
  6. Step 6: Final answer
    x = 14,928.32

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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.