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Finding the Fourth Proportional to 14,798.88, 22,208.40 and 7,878.24

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Solution

The fourth proportional to 14,798.88, 22,208.40 and 7,878.24 is: 11,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798.88 : 22,208.40 = 7,878.24 : x
  2. Step 2: Convert to fraction form
    14,798.88/22,208.40 = 7,878.24/x
  3. Step 3: Cross multiply
    14,798.88x = 22,208.40 × 7,878.24
  4. Step 4: Simplify right side
    14,798.88x = 174,963,105.22
  5. Step 5: Solve for x
    x = 174,963,105.22/14,798.88
  6. Step 6: Final answer
    x = 11,822.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.