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Finding the Fourth Proportional to 31,224.15, 46,842 and 9,882.24

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Solution

The fourth proportional to 31,224.15, 46,842 and 9,882.24 is: 14,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.15 : 46,842 = 9,882.24 : x
  2. Step 2: Convert to fraction form
    31,224.15/46,842 = 9,882.24/x
  3. Step 3: Cross multiply
    31,224.15x = 46,842 × 9,882.24
  4. Step 4: Simplify right side
    31,224.15x = 462,903,886.08
  5. Step 5: Solve for x
    x = 462,903,886.08/31,224.15
  6. Step 6: Final answer
    x = 14,825.19

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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.