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Finding the Fourth Proportional to 7,054.38, 9,733.14 and 4,220.46

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Solution

The fourth proportional to 7,054.38, 9,733.14 and 4,220.46 is: 5,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.38 : 9,733.14 = 4,220.46 : x
  2. Step 2: Convert to fraction form
    7,054.38/9,733.14 = 4,220.46/x
  3. Step 3: Cross multiply
    7,054.38x = 9,733.14 × 4,220.46
  4. Step 4: Simplify right side
    7,054.38x = 41,078,328.04
  5. Step 5: Solve for x
    x = 41,078,328.04/7,054.38
  6. Step 6: Final answer
    x = 5,823.10

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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.