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Finding the Fourth Proportional to 9,297.16, 14,000.71 and 6,718.12

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Solution

The fourth proportional to 9,297.16, 14,000.71 and 6,718.12 is: 10,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.16 : 14,000.71 = 6,718.12 : x
  2. Step 2: Convert to fraction form
    9,297.16/14,000.71 = 6,718.12/x
  3. Step 3: Cross multiply
    9,297.16x = 14,000.71 × 6,718.12
  4. Step 4: Simplify right side
    9,297.16x = 94,058,449.87
  5. Step 5: Solve for x
    x = 94,058,449.87/9,297.16
  6. Step 6: Final answer
    x = 10,116.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.