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Finding the Fourth Proportional to 14,204.61, 19,602.36 and 7,831.05

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Solution

The fourth proportional to 14,204.61, 19,602.36 and 7,831.05 is: 10,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.61 : 19,602.36 = 7,831.05 : x
  2. Step 2: Convert to fraction form
    14,204.61/19,602.36 = 7,831.05/x
  3. Step 3: Cross multiply
    14,204.61x = 19,602.36 × 7,831.05
  4. Step 4: Simplify right side
    14,204.61x = 153,507,061.28
  5. Step 5: Solve for x
    x = 153,507,061.28/14,204.61
  6. Step 6: Final answer
    x = 10,806.85

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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.