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Finding the Fourth Proportional to 6,456.30, 9,684.45 and 6,456.30

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Solution

The fourth proportional to 6,456.30, 9,684.45 and 6,456.30 is: 9,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.30 : 9,684.45 = 6,456.30 : x
  2. Step 2: Convert to fraction form
    6,456.30/9,684.45 = 6,456.30/x
  3. Step 3: Cross multiply
    6,456.30x = 9,684.45 × 6,456.30
  4. Step 4: Simplify right side
    6,456.30x = 62,525,714.54
  5. Step 5: Solve for x
    x = 62,525,714.54/6,456.30
  6. Step 6: Final answer
    x = 9,684.45

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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.