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Finding the Fourth Proportional to 9,656.78, 14,460.40 and 6,691.01

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Solution

The fourth proportional to 9,656.78, 14,460.40 and 6,691.01 is: 10,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.78 : 14,460.40 = 6,691.01 : x
  2. Step 2: Convert to fraction form
    9,656.78/14,460.40 = 6,691.01/x
  3. Step 3: Cross multiply
    9,656.78x = 14,460.40 × 6,691.01
  4. Step 4: Simplify right side
    9,656.78x = 96,754,725.52
  5. Step 5: Solve for x
    x = 96,754,725.52/9,656.78
  6. Step 6: Final answer
    x = 10,019.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.