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Finding the Fourth Proportional to 30,823.55, 46,235.63 and 9,763.19

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Solution

The fourth proportional to 30,823.55, 46,235.63 and 9,763.19 is: 14,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.55 : 46,235.63 = 9,763.19 : x
  2. Step 2: Convert to fraction form
    30,823.55/46,235.63 = 9,763.19/x
  3. Step 3: Cross multiply
    30,823.55x = 46,235.63 × 9,763.19
  4. Step 4: Simplify right side
    30,823.55x = 451,406,960.47
  5. Step 5: Solve for x
    x = 451,406,960.47/30,823.55
  6. Step 6: Final answer
    x = 14,644.87

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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.