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Finding the Fourth Proportional to 7,151.99, 9,864.17 and 4,316.41

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Solution

The fourth proportional to 7,151.99, 9,864.17 and 4,316.41 is: 5,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.99 : 9,864.17 = 4,316.41 : x
  2. Step 2: Convert to fraction form
    7,151.99/9,864.17 = 4,316.41/x
  3. Step 3: Cross multiply
    7,151.99x = 9,864.17 × 4,316.41
  4. Step 4: Simplify right side
    7,151.99x = 42,577,763.50
  5. Step 5: Solve for x
    x = 42,577,763.50/7,151.99
  6. Step 6: Final answer
    x = 5,953.28

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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.