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Finding the Fourth Proportional to 6,430.32, 8,865.33 and 4,636.31

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Solution

The fourth proportional to 6,430.32, 8,865.33 and 4,636.31 is: 6,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.32 : 8,865.33 = 4,636.31 : x
  2. Step 2: Convert to fraction form
    6,430.32/8,865.33 = 4,636.31/x
  3. Step 3: Cross multiply
    6,430.32x = 8,865.33 × 4,636.31
  4. Step 4: Simplify right side
    6,430.32x = 41,102,356.42
  5. Step 5: Solve for x
    x = 41,102,356.42/6,430.32
  6. Step 6: Final answer
    x = 6,391.96

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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.