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Finding the Fourth Proportional to 6,559.07, 9,830.64 and 3,044.30

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Solution

The fourth proportional to 6,559.07, 9,830.64 and 3,044.30 is: 4,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.07 : 9,830.64 = 3,044.30 : x
  2. Step 2: Convert to fraction form
    6,559.07/9,830.64 = 3,044.30/x
  3. Step 3: Cross multiply
    6,559.07x = 9,830.64 × 3,044.30
  4. Step 4: Simplify right side
    6,559.07x = 29,927,417.35
  5. Step 5: Solve for x
    x = 29,927,417.35/6,559.07
  6. Step 6: Final answer
    x = 4,562.75

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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.