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Finding the Fourth Proportional to 35,806.97, 53,710.49 and 9,511.07

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Solution

The fourth proportional to 35,806.97, 53,710.49 and 9,511.07 is: 14,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,806.97 : 53,710.49 = 9,511.07 : x
  2. Step 2: Convert to fraction form
    35,806.97/53,710.49 = 9,511.07/x
  3. Step 3: Cross multiply
    35,806.97x = 53,710.49 × 9,511.07
  4. Step 4: Simplify right side
    35,806.97x = 510,843,985.35
  5. Step 5: Solve for x
    x = 510,843,985.35/35,806.97
  6. Step 6: Final answer
    x = 14,266.61

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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.