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Finding the Fourth Proportional to 12,209.99, 16,848.98 and 6,831.51

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Solution

The fourth proportional to 12,209.99, 16,848.98 and 6,831.51 is: 9,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.99 : 16,848.98 = 6,831.51 : x
  2. Step 2: Convert to fraction form
    12,209.99/16,848.98 = 6,831.51/x
  3. Step 3: Cross multiply
    12,209.99x = 16,848.98 × 6,831.51
  4. Step 4: Simplify right side
    12,209.99x = 115,103,941.20
  5. Step 5: Solve for x
    x = 115,103,941.20/12,209.99
  6. Step 6: Final answer
    x = 9,427.03

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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.