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Finding the Fourth Proportional to 31,153.50, 46,730.25 and 9,265.50

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Solution

The fourth proportional to 31,153.50, 46,730.25 and 9,265.50 is: 13,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,153.50 : 46,730.25 = 9,265.50 : x
  2. Step 2: Convert to fraction form
    31,153.50/46,730.25 = 9,265.50/x
  3. Step 3: Cross multiply
    31,153.50x = 46,730.25 × 9,265.50
  4. Step 4: Simplify right side
    31,153.50x = 432,979,131.38
  5. Step 5: Solve for x
    x = 432,979,131.38/31,153.50
  6. Step 6: Final answer
    x = 13,898.25

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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.