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Finding the Fourth Proportional to 7,804.39, 10,770.23 and 4,267.93

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Solution

The fourth proportional to 7,804.39, 10,770.23 and 4,267.93 is: 5,889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.39 : 10,770.23 = 4,267.93 : x
  2. Step 2: Convert to fraction form
    7,804.39/10,770.23 = 4,267.93/x
  3. Step 3: Cross multiply
    7,804.39x = 10,770.23 × 4,267.93
  4. Step 4: Simplify right side
    7,804.39x = 45,966,587.72
  5. Step 5: Solve for x
    x = 45,966,587.72/7,804.39
  6. Step 6: Final answer
    x = 5,889.84

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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.