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Finding the Fourth Proportional to 9,417.44, 14,128.08 and 2,843

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Solution

The fourth proportional to 9,417.44, 14,128.08 and 2,843 is: 4,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.44 : 14,128.08 = 2,843 : x
  2. Step 2: Convert to fraction form
    9,417.44/14,128.08 = 2,843/x
  3. Step 3: Cross multiply
    9,417.44x = 14,128.08 × 2,843
  4. Step 4: Simplify right side
    9,417.44x = 40,166,131.44
  5. Step 5: Solve for x
    x = 40,166,131.44/9,417.44
  6. Step 6: Final answer
    x = 4,265.08

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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.