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Finding the Fourth Proportional to 9,941.09, 14,911.47 and 2,545.47

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Solution

The fourth proportional to 9,941.09, 14,911.47 and 2,545.47 is: 3,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.09 : 14,911.47 = 2,545.47 : x
  2. Step 2: Convert to fraction form
    9,941.09/14,911.47 = 2,545.47/x
  3. Step 3: Cross multiply
    9,941.09x = 14,911.47 × 2,545.47
  4. Step 4: Simplify right side
    9,941.09x = 37,956,699.54
  5. Step 5: Solve for x
    x = 37,956,699.54/9,941.09
  6. Step 6: Final answer
    x = 3,818.16

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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.