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Finding the Fourth Proportional to 30,693.81, 46,045.95 and 9,629.79

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Solution

The fourth proportional to 30,693.81, 46,045.95 and 9,629.79 is: 14,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.81 : 46,045.95 = 9,629.79 : x
  2. Step 2: Convert to fraction form
    30,693.81/46,045.95 = 9,629.79/x
  3. Step 3: Cross multiply
    30,693.81x = 46,045.95 × 9,629.79
  4. Step 4: Simplify right side
    30,693.81x = 443,412,828.85
  5. Step 5: Solve for x
    x = 443,412,828.85/30,693.81
  6. Step 6: Final answer
    x = 14,446.33

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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.