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Finding the Fourth Proportional to 7,341, 10,130.58 and 4,029

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Solution

The fourth proportional to 7,341, 10,130.58 and 4,029 is: 5,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341 : 10,130.58 = 4,029 : x
  2. Step 2: Convert to fraction form
    7,341/10,130.58 = 4,029/x
  3. Step 3: Cross multiply
    7,341x = 10,130.58 × 4,029
  4. Step 4: Simplify right side
    7,341x = 40,816,106.82
  5. Step 5: Solve for x
    x = 40,816,106.82/7,341
  6. Step 6: Final answer
    x = 5,560.02

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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.