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Finding the Fourth Proportional to 7,213, 9,953.94 and 4,069.12

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Solution

The fourth proportional to 7,213, 9,953.94 and 4,069.12 is: 5,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213 : 9,953.94 = 4,069.12 : x
  2. Step 2: Convert to fraction form
    7,213/9,953.94 = 4,069.12/x
  3. Step 3: Cross multiply
    7,213x = 9,953.94 × 4,069.12
  4. Step 4: Simplify right side
    7,213x = 40,503,776.33
  5. Step 5: Solve for x
    x = 40,503,776.33/7,213
  6. Step 6: Final answer
    x = 5,615.39

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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.