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Finding the Fourth Proportional to 12,297.32, 16,970.28 and 6,708.32

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Solution

The fourth proportional to 12,297.32, 16,970.28 and 6,708.32 is: 9,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.32 : 16,970.28 = 6,708.32 : x
  2. Step 2: Convert to fraction form
    12,297.32/16,970.28 = 6,708.32/x
  3. Step 3: Cross multiply
    12,297.32x = 16,970.28 × 6,708.32
  4. Step 4: Simplify right side
    12,297.32x = 113,842,068.73
  5. Step 5: Solve for x
    x = 113,842,068.73/12,297.32
  6. Step 6: Final answer
    x = 9,257.47

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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.