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Finding the Fourth Proportional to 12,582.24, 17,363.04 and 6,993.12

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Solution

The fourth proportional to 12,582.24, 17,363.04 and 6,993.12 is: 9,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.24 : 17,363.04 = 6,993.12 : x
  2. Step 2: Convert to fraction form
    12,582.24/17,363.04 = 6,993.12/x
  3. Step 3: Cross multiply
    12,582.24x = 17,363.04 × 6,993.12
  4. Step 4: Simplify right side
    12,582.24x = 121,421,822.28
  5. Step 5: Solve for x
    x = 121,421,822.28/12,582.24
  6. Step 6: Final answer
    x = 9,650.25

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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.