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Finding the Fourth Proportional to 4,904.62, 7,358.01 and 4,689.34

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Solution

The fourth proportional to 4,904.62, 7,358.01 and 4,689.34 is: 7,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.62 : 7,358.01 = 4,689.34 : x
  2. Step 2: Convert to fraction form
    4,904.62/7,358.01 = 4,689.34/x
  3. Step 3: Cross multiply
    4,904.62x = 7,358.01 × 4,689.34
  4. Step 4: Simplify right side
    4,904.62x = 34,504,210.61
  5. Step 5: Solve for x
    x = 34,504,210.61/4,904.62
  6. Step 6: Final answer
    x = 7,035.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.