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Finding the Fourth Proportional to 7,459.91, 10,294.93 and 4,102.97

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Solution

The fourth proportional to 7,459.91, 10,294.93 and 4,102.97 is: 5,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.91 : 10,294.93 = 4,102.97 : x
  2. Step 2: Convert to fraction form
    7,459.91/10,294.93 = 4,102.97/x
  3. Step 3: Cross multiply
    7,459.91x = 10,294.93 × 4,102.97
  4. Step 4: Simplify right side
    7,459.91x = 42,239,827.55
  5. Step 5: Solve for x
    x = 42,239,827.55/7,459.91
  6. Step 6: Final answer
    x = 5,662.25

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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.