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Finding the Fourth Proportional to 15,503.98, 21,395.77 and 8,430.46

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Solution

The fourth proportional to 15,503.98, 21,395.77 and 8,430.46 is: 11,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,503.98 : 21,395.77 = 8,430.46 : x
  2. Step 2: Convert to fraction form
    15,503.98/21,395.77 = 8,430.46/x
  3. Step 3: Cross multiply
    15,503.98x = 21,395.77 × 8,430.46
  4. Step 4: Simplify right side
    15,503.98x = 180,376,183.15
  5. Step 5: Solve for x
    x = 180,376,183.15/15,503.98
  6. Step 6: Final answer
    x = 11,634.19

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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.