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Finding the Fourth Proportional to 4,673.35, 6,430.98 and 4,644.60

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Solution

The fourth proportional to 4,673.35, 6,430.98 and 4,644.60 is: 6,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.35 : 6,430.98 = 4,644.60 : x
  2. Step 2: Convert to fraction form
    4,673.35/6,430.98 = 4,644.60/x
  3. Step 3: Cross multiply
    4,673.35x = 6,430.98 × 4,644.60
  4. Step 4: Simplify right side
    4,673.35x = 29,869,329.71
  5. Step 5: Solve for x
    x = 29,869,329.71/4,673.35
  6. Step 6: Final answer
    x = 6,391.42

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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.