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Finding the Fourth Proportional to 7,768.99, 10,721.24 and 4,582.32

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Solution

The fourth proportional to 7,768.99, 10,721.24 and 4,582.32 is: 6,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.99 : 10,721.24 = 4,582.32 : x
  2. Step 2: Convert to fraction form
    7,768.99/10,721.24 = 4,582.32/x
  3. Step 3: Cross multiply
    7,768.99x = 10,721.24 × 4,582.32
  4. Step 4: Simplify right side
    7,768.99x = 49,128,152.48
  5. Step 5: Solve for x
    x = 49,128,152.48/7,768.99
  6. Step 6: Final answer
    x = 6,323.62

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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.