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Finding the Fourth Proportional to 9,681.78, 14,504.16 and 6,546.42

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Solution

The fourth proportional to 9,681.78, 14,504.16 and 6,546.42 is: 9,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.78 : 14,504.16 = 6,546.42 : x
  2. Step 2: Convert to fraction form
    9,681.78/14,504.16 = 6,546.42/x
  3. Step 3: Cross multiply
    9,681.78x = 14,504.16 × 6,546.42
  4. Step 4: Simplify right side
    9,681.78x = 94,950,347.66
  5. Step 5: Solve for x
    x = 94,950,347.66/9,681.78
  6. Step 6: Final answer
    x = 9,807.12

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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.