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Finding the Fourth Proportional to 7,678.80, 10,593 and 4,536.72

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Solution

The fourth proportional to 7,678.80, 10,593 and 4,536.72 is: 6,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.80 : 10,593 = 4,536.72 : x
  2. Step 2: Convert to fraction form
    7,678.80/10,593 = 4,536.72/x
  3. Step 3: Cross multiply
    7,678.80x = 10,593 × 4,536.72
  4. Step 4: Simplify right side
    7,678.80x = 48,057,474.96
  5. Step 5: Solve for x
    x = 48,057,474.96/7,678.80
  6. Step 6: Final answer
    x = 6,258.46

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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.