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Finding the Fourth Proportional to 7,329.69, 10,114.98 and 4,347

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Solution

The fourth proportional to 7,329.69, 10,114.98 and 4,347 is: 5,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.69 : 10,114.98 = 4,347 : x
  2. Step 2: Convert to fraction form
    7,329.69/10,114.98 = 4,347/x
  3. Step 3: Cross multiply
    7,329.69x = 10,114.98 × 4,347
  4. Step 4: Simplify right side
    7,329.69x = 43,969,818.06
  5. Step 5: Solve for x
    x = 43,969,818.06/7,329.69
  6. Step 6: Final answer
    x = 5,998.86

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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.