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Finding the Fourth Proportional to 7,613, 10,507.46 and 4,301

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Solution

The fourth proportional to 7,613, 10,507.46 and 4,301 is: 5,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613 : 10,507.46 = 4,301 : x
  2. Step 2: Convert to fraction form
    7,613/10,507.46 = 4,301/x
  3. Step 3: Cross multiply
    7,613x = 10,507.46 × 4,301
  4. Step 4: Simplify right side
    7,613x = 45,192,585.46
  5. Step 5: Solve for x
    x = 45,192,585.46/7,613
  6. Step 6: Final answer
    x = 5,936.24

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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.