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Finding the Fourth Proportional to 7,860.96, 10,852.62 and 5,211.96

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Solution

The fourth proportional to 7,860.96, 10,852.62 and 5,211.96 is: 7,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.96 : 10,852.62 = 5,211.96 : x
  2. Step 2: Convert to fraction form
    7,860.96/10,852.62 = 5,211.96/x
  3. Step 3: Cross multiply
    7,860.96x = 10,852.62 × 5,211.96
  4. Step 4: Simplify right side
    7,860.96x = 56,563,421.34
  5. Step 5: Solve for x
    x = 56,563,421.34/7,860.96
  6. Step 6: Final answer
    x = 7,195.49

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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.