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Finding the Fourth Proportional to 13,999.50, 19,319.31 and 7,712.01

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Solution

The fourth proportional to 13,999.50, 19,319.31 and 7,712.01 is: 10,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.50 : 19,319.31 = 7,712.01 : x
  2. Step 2: Convert to fraction form
    13,999.50/19,319.31 = 7,712.01/x
  3. Step 3: Cross multiply
    13,999.50x = 19,319.31 × 7,712.01
  4. Step 4: Simplify right side
    13,999.50x = 148,990,711.91
  5. Step 5: Solve for x
    x = 148,990,711.91/13,999.50
  6. Step 6: Final answer
    x = 10,642.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.