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Finding the Fourth Proportional to 16,503.16, 22,765.16 and 9,782.32

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Solution

The fourth proportional to 16,503.16, 22,765.16 and 9,782.32 is: 13,494.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.16 : 22,765.16 = 9,782.32 : x
  2. Step 2: Convert to fraction form
    16,503.16/22,765.16 = 9,782.32/x
  3. Step 3: Cross multiply
    16,503.16x = 22,765.16 × 9,782.32
  4. Step 4: Simplify right side
    16,503.16x = 222,696,079.97
  5. Step 5: Solve for x
    x = 222,696,079.97/16,503.16
  6. Step 6: Final answer
    x = 13,494.15

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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.