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Finding the Fourth Proportional to 12,714.84, 17,547.44 and 7,408.53

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Solution

The fourth proportional to 12,714.84, 17,547.44 and 7,408.53 is: 10,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.84 : 17,547.44 = 7,408.53 : x
  2. Step 2: Convert to fraction form
    12,714.84/17,547.44 = 7,408.53/x
  3. Step 3: Cross multiply
    12,714.84x = 17,547.44 × 7,408.53
  4. Step 4: Simplify right side
    12,714.84x = 130,000,698.62
  5. Step 5: Solve for x
    x = 130,000,698.62/12,714.84
  6. Step 6: Final answer
    x = 10,224.33

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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.