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Finding the Fourth Proportional to 6,357.58, 9,537.28 and 2,407.77

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Solution

The fourth proportional to 6,357.58, 9,537.28 and 2,407.77 is: 3,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.58 : 9,537.28 = 2,407.77 : x
  2. Step 2: Convert to fraction form
    6,357.58/9,537.28 = 2,407.77/x
  3. Step 3: Cross multiply
    6,357.58x = 9,537.28 × 2,407.77
  4. Step 4: Simplify right side
    6,357.58x = 22,963,570.65
  5. Step 5: Solve for x
    x = 22,963,570.65/6,357.58
  6. Step 6: Final answer
    x = 3,612.00

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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.