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Finding the Fourth Proportional to 14,699.01, 20,284.70 and 7,984.76

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Solution

The fourth proportional to 14,699.01, 20,284.70 and 7,984.76 is: 11,018.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.01 : 20,284.70 = 7,984.76 : x
  2. Step 2: Convert to fraction form
    14,699.01/20,284.70 = 7,984.76/x
  3. Step 3: Cross multiply
    14,699.01x = 20,284.70 × 7,984.76
  4. Step 4: Simplify right side
    14,699.01x = 161,968,319.82
  5. Step 5: Solve for x
    x = 161,968,319.82/14,699.01
  6. Step 6: Final answer
    x = 11,018.99

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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.