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Finding the Fourth Proportional to 7,127.71, 9,833.83 and 4,613

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Solution

The fourth proportional to 7,127.71, 9,833.83 and 4,613 is: 6,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.71 : 9,833.83 = 4,613 : x
  2. Step 2: Convert to fraction form
    7,127.71/9,833.83 = 4,613/x
  3. Step 3: Cross multiply
    7,127.71x = 9,833.83 × 4,613
  4. Step 4: Simplify right side
    7,127.71x = 45,363,457.79
  5. Step 5: Solve for x
    x = 45,363,457.79/7,127.71
  6. Step 6: Final answer
    x = 6,364.38

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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.