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Finding the Fourth Proportional to 7,804.68, 10,770.60 and 4,662.64

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Solution

The fourth proportional to 7,804.68, 10,770.60 and 4,662.64 is: 6,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.68 : 10,770.60 = 4,662.64 : x
  2. Step 2: Convert to fraction form
    7,804.68/10,770.60 = 4,662.64/x
  3. Step 3: Cross multiply
    7,804.68x = 10,770.60 × 4,662.64
  4. Step 4: Simplify right side
    7,804.68x = 50,219,430.38
  5. Step 5: Solve for x
    x = 50,219,430.38/7,804.68
  6. Step 6: Final answer
    x = 6,434.53

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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.