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Finding the Fourth Proportional to 10,506.66, 14,496.66 and 6,921.24

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Solution

The fourth proportional to 10,506.66, 14,496.66 and 6,921.24 is: 9,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.66 : 14,496.66 = 6,921.24 : x
  2. Step 2: Convert to fraction form
    10,506.66/14,496.66 = 6,921.24/x
  3. Step 3: Cross multiply
    10,506.66x = 14,496.66 × 6,921.24
  4. Step 4: Simplify right side
    10,506.66x = 100,334,863.06
  5. Step 5: Solve for x
    x = 100,334,863.06/10,506.66
  6. Step 6: Final answer
    x = 9,549.64

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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.