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Finding the Fourth Proportional to 9,254.16, 12,748.59 and 7,654.14

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Solution

The fourth proportional to 9,254.16, 12,748.59 and 7,654.14 is: 10,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.16 : 12,748.59 = 7,654.14 : x
  2. Step 2: Convert to fraction form
    9,254.16/12,748.59 = 7,654.14/x
  3. Step 3: Cross multiply
    9,254.16x = 12,748.59 × 7,654.14
  4. Step 4: Simplify right side
    9,254.16x = 97,579,492.66
  5. Step 5: Solve for x
    x = 97,579,492.66/9,254.16
  6. Step 6: Final answer
    x = 10,544.39

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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.