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Finding the Fourth Proportional to 4,658.37, 6,409.78 and 4,547.65

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Solution

The fourth proportional to 4,658.37, 6,409.78 and 4,547.65 is: 6,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.37 : 6,409.78 = 4,547.65 : x
  2. Step 2: Convert to fraction form
    4,658.37/6,409.78 = 4,547.65/x
  3. Step 3: Cross multiply
    4,658.37x = 6,409.78 × 4,547.65
  4. Step 4: Simplify right side
    4,658.37x = 29,149,436.02
  5. Step 5: Solve for x
    x = 29,149,436.02/4,658.37
  6. Step 6: Final answer
    x = 6,257.43

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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.