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Finding the Fourth Proportional to 7,695.96, 10,615.50 and 5,337.24

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Solution

The fourth proportional to 7,695.96, 10,615.50 and 5,337.24 is: 7,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.96 : 10,615.50 = 5,337.24 : x
  2. Step 2: Convert to fraction form
    7,695.96/10,615.50 = 5,337.24/x
  3. Step 3: Cross multiply
    7,695.96x = 10,615.50 × 5,337.24
  4. Step 4: Simplify right side
    7,695.96x = 56,657,471.22
  5. Step 5: Solve for x
    x = 56,657,471.22/7,695.96
  6. Step 6: Final answer
    x = 7,361.98

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Double scale
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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.