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Finding the Fourth Proportional to 5,163, 7,143.71 and 4,501.23

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Solution

The fourth proportional to 5,163, 7,143.71 and 4,501.23 is: 6,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163 : 7,143.71 = 4,501.23 : x
  2. Step 2: Convert to fraction form
    5,163/7,143.71 = 4,501.23/x
  3. Step 3: Cross multiply
    5,163x = 7,143.71 × 4,501.23
  4. Step 4: Simplify right side
    5,163x = 32,155,459.26
  5. Step 5: Solve for x
    x = 32,155,459.26/5,163
  6. Step 6: Final answer
    x = 6,228.06

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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.