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Finding the Fourth Proportional to 9,677.88, 14,516.40 and 3,104.40

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Solution

The fourth proportional to 9,677.88, 14,516.40 and 3,104.40 is: 4,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.88 : 14,516.40 = 3,104.40 : x
  2. Step 2: Convert to fraction form
    9,677.88/14,516.40 = 3,104.40/x
  3. Step 3: Cross multiply
    9,677.88x = 14,516.40 × 3,104.40
  4. Step 4: Simplify right side
    9,677.88x = 45,064,712.16
  5. Step 5: Solve for x
    x = 45,064,712.16/9,677.88
  6. Step 6: Final answer
    x = 4,656.47

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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.