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Finding the Fourth Proportional to 9,133.56, 13,696.02 and 4,201.74

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Solution

The fourth proportional to 9,133.56, 13,696.02 and 4,201.74 is: 6,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.56 : 13,696.02 = 4,201.74 : x
  2. Step 2: Convert to fraction form
    9,133.56/13,696.02 = 4,201.74/x
  3. Step 3: Cross multiply
    9,133.56x = 13,696.02 × 4,201.74
  4. Step 4: Simplify right side
    9,133.56x = 57,547,115.07
  5. Step 5: Solve for x
    x = 57,547,115.07/9,133.56
  6. Step 6: Final answer
    x = 6,300.62

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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.