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Finding the Fourth Proportional to 9,649.88, 14,499.02 and 6,141.40

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Solution

The fourth proportional to 9,649.88, 14,499.02 and 6,141.40 is: 9,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.88 : 14,499.02 = 6,141.40 : x
  2. Step 2: Convert to fraction form
    9,649.88/14,499.02 = 6,141.40/x
  3. Step 3: Cross multiply
    9,649.88x = 14,499.02 × 6,141.40
  4. Step 4: Simplify right side
    9,649.88x = 89,044,214.47
  5. Step 5: Solve for x
    x = 89,044,214.47/9,649.88
  6. Step 6: Final answer
    x = 9,227.50

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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.