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Finding the Fourth Proportional to 7,297.68, 10,070.64 and 4,154.16

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Solution

The fourth proportional to 7,297.68, 10,070.64 and 4,154.16 is: 5,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.68 : 10,070.64 = 4,154.16 : x
  2. Step 2: Convert to fraction form
    7,297.68/10,070.64 = 4,154.16/x
  3. Step 3: Cross multiply
    7,297.68x = 10,070.64 × 4,154.16
  4. Step 4: Simplify right side
    7,297.68x = 41,835,049.86
  5. Step 5: Solve for x
    x = 41,835,049.86/7,297.68
  6. Step 6: Final answer
    x = 5,732.65

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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.