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Finding the Fourth Proportional to 7,636.96, 10,538.16 and 4,657.12

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Solution

The fourth proportional to 7,636.96, 10,538.16 and 4,657.12 is: 6,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.96 : 10,538.16 = 4,657.12 : x
  2. Step 2: Convert to fraction form
    7,636.96/10,538.16 = 4,657.12/x
  3. Step 3: Cross multiply
    7,636.96x = 10,538.16 × 4,657.12
  4. Step 4: Simplify right side
    7,636.96x = 49,077,475.70
  5. Step 5: Solve for x
    x = 49,077,475.70/7,636.96
  6. Step 6: Final answer
    x = 6,426.31

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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.