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Finding the Fourth Proportional to 7,613.84, 10,506.96 and 4,301.84

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Solution

The fourth proportional to 7,613.84, 10,506.96 and 4,301.84 is: 5,936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.84 : 10,506.96 = 4,301.84 : x
  2. Step 2: Convert to fraction form
    7,613.84/10,506.96 = 4,301.84/x
  3. Step 3: Cross multiply
    7,613.84x = 10,506.96 × 4,301.84
  4. Step 4: Simplify right side
    7,613.84x = 45,199,260.81
  5. Step 5: Solve for x
    x = 45,199,260.81/7,613.84
  6. Step 6: Final answer
    x = 5,936.46

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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.