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Finding the Fourth Proportional to 20,897.91, 31,337.64 and 9,795.63

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Solution

The fourth proportional to 20,897.91, 31,337.64 and 9,795.63 is: 14,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.91 : 31,337.64 = 9,795.63 : x
  2. Step 2: Convert to fraction form
    20,897.91/31,337.64 = 9,795.63/x
  3. Step 3: Cross multiply
    20,897.91x = 31,337.64 × 9,795.63
  4. Step 4: Simplify right side
    20,897.91x = 306,971,926.51
  5. Step 5: Solve for x
    x = 306,971,926.51/20,897.91
  6. Step 6: Final answer
    x = 14,689.12

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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.