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Finding the Fourth Proportional to 8,324.84, 11,488.14 and 4,598.84

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Solution

The fourth proportional to 8,324.84, 11,488.14 and 4,598.84 is: 6,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.84 : 11,488.14 = 4,598.84 : x
  2. Step 2: Convert to fraction form
    8,324.84/11,488.14 = 4,598.84/x
  3. Step 3: Cross multiply
    8,324.84x = 11,488.14 × 4,598.84
  4. Step 4: Simplify right side
    8,324.84x = 52,832,117.76
  5. Step 5: Solve for x
    x = 52,832,117.76/8,324.84
  6. Step 6: Final answer
    x = 6,346.32

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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.