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Finding the Fourth Proportional to 9,386.71, 12,953.79 and 5,194.96

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Solution

The fourth proportional to 9,386.71, 12,953.79 and 5,194.96 is: 7,169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.71 : 12,953.79 = 5,194.96 : x
  2. Step 2: Convert to fraction form
    9,386.71/12,953.79 = 5,194.96/x
  3. Step 3: Cross multiply
    9,386.71x = 12,953.79 × 5,194.96
  4. Step 4: Simplify right side
    9,386.71x = 67,294,388.51
  5. Step 5: Solve for x
    x = 67,294,388.51/9,386.71
  6. Step 6: Final answer
    x = 7,169.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.