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Finding the Fourth Proportional to 7,853.34, 10,838.22 and 4,497.21

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Solution

The fourth proportional to 7,853.34, 10,838.22 and 4,497.21 is: 6,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.34 : 10,838.22 = 4,497.21 : x
  2. Step 2: Convert to fraction form
    7,853.34/10,838.22 = 4,497.21/x
  3. Step 3: Cross multiply
    7,853.34x = 10,838.22 × 4,497.21
  4. Step 4: Simplify right side
    7,853.34x = 48,741,751.37
  5. Step 5: Solve for x
    x = 48,741,751.37/7,853.34
  6. Step 6: Final answer
    x = 6,206.50

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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.