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Finding the Fourth Proportional to 8,496.63, 12,721.32 and 6,410.34

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Solution

The fourth proportional to 8,496.63, 12,721.32 and 6,410.34 is: 9,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.63 : 12,721.32 = 6,410.34 : x
  2. Step 2: Convert to fraction form
    8,496.63/12,721.32 = 6,410.34/x
  3. Step 3: Cross multiply
    8,496.63x = 12,721.32 × 6,410.34
  4. Step 4: Simplify right side
    8,496.63x = 81,547,986.45
  5. Step 5: Solve for x
    x = 81,547,986.45/8,496.63
  6. Step 6: Final answer
    x = 9,597.69

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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.