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Finding the Fourth Proportional to 37,610.91, 56,416.43 and 9,530.97

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Solution

The fourth proportional to 37,610.91, 56,416.43 and 9,530.97 is: 14,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,610.91 : 56,416.43 = 9,530.97 : x
  2. Step 2: Convert to fraction form
    37,610.91/56,416.43 = 9,530.97/x
  3. Step 3: Cross multiply
    37,610.91x = 56,416.43 × 9,530.97
  4. Step 4: Simplify right side
    37,610.91x = 537,703,301.84
  5. Step 5: Solve for x
    x = 537,703,301.84/37,610.91
  6. Step 6: Final answer
    x = 14,296.47

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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.