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Finding the Fourth Proportional to 15,502.40, 21,393.06 and 8,429

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Solution

The fourth proportional to 15,502.40, 21,393.06 and 8,429 is: 11,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.40 : 21,393.06 = 8,429 : x
  2. Step 2: Convert to fraction form
    15,502.40/21,393.06 = 8,429/x
  3. Step 3: Cross multiply
    15,502.40x = 21,393.06 × 8,429
  4. Step 4: Simplify right side
    15,502.40x = 180,322,102.74
  5. Step 5: Solve for x
    x = 180,322,102.74/15,502.40
  6. Step 6: Final answer
    x = 11,631.88

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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.