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Finding the Fourth Proportional to 6,415.13, 9,622.71 and 1,798.13

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Solution

The fourth proportional to 6,415.13, 9,622.71 and 1,798.13 is: 2,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.13 : 9,622.71 = 1,798.13 : x
  2. Step 2: Convert to fraction form
    6,415.13/9,622.71 = 1,798.13/x
  3. Step 3: Cross multiply
    6,415.13x = 9,622.71 × 1,798.13
  4. Step 4: Simplify right side
    6,415.13x = 17,302,835.42
  5. Step 5: Solve for x
    x = 17,302,835.42/6,415.13
  6. Step 6: Final answer
    x = 2,697.19

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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.