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Finding the Fourth Proportional to 7,154.24, 9,869.12 and 4,496.64

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Solution

The fourth proportional to 7,154.24, 9,869.12 and 4,496.64 is: 6,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.24 : 9,869.12 = 4,496.64 : x
  2. Step 2: Convert to fraction form
    7,154.24/9,869.12 = 4,496.64/x
  3. Step 3: Cross multiply
    7,154.24x = 9,869.12 × 4,496.64
  4. Step 4: Simplify right side
    7,154.24x = 44,377,879.76
  5. Step 5: Solve for x
    x = 44,377,879.76/7,154.24
  6. Step 6: Final answer
    x = 6,203.02

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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.