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Finding the Fourth Proportional to 9,714.84, 13,407.03 and 7,352.88

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Solution

The fourth proportional to 9,714.84, 13,407.03 and 7,352.88 is: 10,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.84 : 13,407.03 = 7,352.88 : x
  2. Step 2: Convert to fraction form
    9,714.84/13,407.03 = 7,352.88/x
  3. Step 3: Cross multiply
    9,714.84x = 13,407.03 × 7,352.88
  4. Step 4: Simplify right side
    9,714.84x = 98,580,282.75
  5. Step 5: Solve for x
    x = 98,580,282.75/9,714.84
  6. Step 6: Final answer
    x = 10,147.39

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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.