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Finding the Fourth Proportional to 15,584.17, 21,506.13 and 9,213.06

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Solution

The fourth proportional to 15,584.17, 21,506.13 and 9,213.06 is: 12,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.17 : 21,506.13 = 9,213.06 : x
  2. Step 2: Convert to fraction form
    15,584.17/21,506.13 = 9,213.06/x
  3. Step 3: Cross multiply
    15,584.17x = 21,506.13 × 9,213.06
  4. Step 4: Simplify right side
    15,584.17x = 198,137,266.06
  5. Step 5: Solve for x
    x = 198,137,266.06/15,584.17
  6. Step 6: Final answer
    x = 12,714.01

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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.