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Finding the Fourth Proportional to 14,698.95, 20,284.47 and 7,984.53

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Solution

The fourth proportional to 14,698.95, 20,284.47 and 7,984.53 is: 11,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.95 : 20,284.47 = 7,984.53 : x
  2. Step 2: Convert to fraction form
    14,698.95/20,284.47 = 7,984.53/x
  3. Step 3: Cross multiply
    14,698.95x = 20,284.47 × 7,984.53
  4. Step 4: Simplify right side
    14,698.95x = 161,961,959.25
  5. Step 5: Solve for x
    x = 161,961,959.25/14,698.95
  6. Step 6: Final answer
    x = 11,018.61

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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.