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Finding the Fourth Proportional to 7,804.60, 10,764.30 and 4,657.48

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Solution

The fourth proportional to 7,804.60, 10,764.30 and 4,657.48 is: 6,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.60 : 10,764.30 = 4,657.48 : x
  2. Step 2: Convert to fraction form
    7,804.60/10,764.30 = 4,657.48/x
  3. Step 3: Cross multiply
    7,804.60x = 10,764.30 × 4,657.48
  4. Step 4: Simplify right side
    7,804.60x = 50,134,511.96
  5. Step 5: Solve for x
    x = 50,134,511.96/7,804.60
  6. Step 6: Final answer
    x = 6,423.71

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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.