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Finding the Fourth Proportional to 9,461.84, 14,195.84 and 2,888.01

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Solution

The fourth proportional to 9,461.84, 14,195.84 and 2,888.01 is: 4,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.84 : 14,195.84 = 2,888.01 : x
  2. Step 2: Convert to fraction form
    9,461.84/14,195.84 = 2,888.01/x
  3. Step 3: Cross multiply
    9,461.84x = 14,195.84 × 2,888.01
  4. Step 4: Simplify right side
    9,461.84x = 40,997,713.44
  5. Step 5: Solve for x
    x = 40,997,713.44/9,461.84
  6. Step 6: Final answer
    x = 4,332.96

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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.