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Finding the Fourth Proportional to 7,315.96, 10,096.02 and 4,129.93

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Solution

The fourth proportional to 7,315.96, 10,096.02 and 4,129.93 is: 5,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.96 : 10,096.02 = 4,129.93 : x
  2. Step 2: Convert to fraction form
    7,315.96/10,096.02 = 4,129.93/x
  3. Step 3: Cross multiply
    7,315.96x = 10,096.02 × 4,129.93
  4. Step 4: Simplify right side
    7,315.96x = 41,695,830.64
  5. Step 5: Solve for x
    x = 41,695,830.64/7,315.96
  6. Step 6: Final answer
    x = 5,699.30

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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.