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Finding the Fourth Proportional to 23,835.01, 35,756.66 and 9,802.77

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Solution

The fourth proportional to 23,835.01, 35,756.66 and 9,802.77 is: 14,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.01 : 35,756.66 = 9,802.77 : x
  2. Step 2: Convert to fraction form
    23,835.01/35,756.66 = 9,802.77/x
  3. Step 3: Cross multiply
    23,835.01x = 35,756.66 × 9,802.77
  4. Step 4: Simplify right side
    23,835.01x = 350,514,338.46
  5. Step 5: Solve for x
    x = 350,514,338.46/23,835.01
  6. Step 6: Final answer
    x = 14,705.86

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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.