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Finding the Fourth Proportional to 7,416.01, 10,229.64 and 4,898.12

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Solution

The fourth proportional to 7,416.01, 10,229.64 and 4,898.12 is: 6,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.01 : 10,229.64 = 4,898.12 : x
  2. Step 2: Convert to fraction form
    7,416.01/10,229.64 = 4,898.12/x
  3. Step 3: Cross multiply
    7,416.01x = 10,229.64 × 4,898.12
  4. Step 4: Simplify right side
    7,416.01x = 50,106,004.28
  5. Step 5: Solve for x
    x = 50,106,004.28/7,416.01
  6. Step 6: Final answer
    x = 6,756.47

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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.