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Finding the Fourth Proportional to 9,409.84, 14,116.68 and 2,835.76

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Solution

The fourth proportional to 9,409.84, 14,116.68 and 2,835.76 is: 4,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.84 : 14,116.68 = 2,835.76 : x
  2. Step 2: Convert to fraction form
    9,409.84/14,116.68 = 2,835.76/x
  3. Step 3: Cross multiply
    9,409.84x = 14,116.68 × 2,835.76
  4. Step 4: Simplify right side
    9,409.84x = 40,031,516.48
  5. Step 5: Solve for x
    x = 40,031,516.48/9,409.84
  6. Step 6: Final answer
    x = 4,254.22

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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.