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Finding the Fourth Proportional to 31,257.50, 46,886.26 and 9,369.50

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Solution

The fourth proportional to 31,257.50, 46,886.26 and 9,369.50 is: 14,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257.50 : 46,886.26 = 9,369.50 : x
  2. Step 2: Convert to fraction form
    31,257.50/46,886.26 = 9,369.50/x
  3. Step 3: Cross multiply
    31,257.50x = 46,886.26 × 9,369.50
  4. Step 4: Simplify right side
    31,257.50x = 439,300,813.07
  5. Step 5: Solve for x
    x = 439,300,813.07/31,257.50
  6. Step 6: Final answer
    x = 14,054.25

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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.