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Finding the Fourth Proportional to 15,492.80, 21,380 and 8,419.08

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Solution

The fourth proportional to 15,492.80, 21,380 and 8,419.08 is: 11,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,492.80 : 21,380 = 8,419.08 : x
  2. Step 2: Convert to fraction form
    15,492.80/21,380 = 8,419.08/x
  3. Step 3: Cross multiply
    15,492.80x = 21,380 × 8,419.08
  4. Step 4: Simplify right side
    15,492.80x = 179,999,930.40
  5. Step 5: Solve for x
    x = 179,999,930.40/15,492.80
  6. Step 6: Final answer
    x = 11,618.30

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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.