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Finding the Fourth Proportional to 27,798.14, 41,699.07 and 9,784.22

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Solution

The fourth proportional to 27,798.14, 41,699.07 and 9,784.22 is: 14,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798.14 : 41,699.07 = 9,784.22 : x
  2. Step 2: Convert to fraction form
    27,798.14/41,699.07 = 9,784.22/x
  3. Step 3: Cross multiply
    27,798.14x = 41,699.07 × 9,784.22
  4. Step 4: Simplify right side
    27,798.14x = 407,992,666.18
  5. Step 5: Solve for x
    x = 407,992,666.18/27,798.14
  6. Step 6: Final answer
    x = 14,676.98

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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.