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Finding the Fourth Proportional to 7,775.26, 10,730 and 4,238.48

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Solution

The fourth proportional to 7,775.26, 10,730 and 4,238.48 is: 5,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.26 : 10,730 = 4,238.48 : x
  2. Step 2: Convert to fraction form
    7,775.26/10,730 = 4,238.48/x
  3. Step 3: Cross multiply
    7,775.26x = 10,730 × 4,238.48
  4. Step 4: Simplify right side
    7,775.26x = 45,478,890.40
  5. Step 5: Solve for x
    x = 45,478,890.40/7,775.26
  6. Step 6: Final answer
    x = 5,849.18

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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.