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Finding the Fourth Proportional to 12,836.16, 17,714.16 and 7,246.08

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Solution

The fourth proportional to 12,836.16, 17,714.16 and 7,246.08 is: 9,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.16 : 17,714.16 = 7,246.08 : x
  2. Step 2: Convert to fraction form
    12,836.16/17,714.16 = 7,246.08/x
  3. Step 3: Cross multiply
    12,836.16x = 17,714.16 × 7,246.08
  4. Step 4: Simplify right side
    12,836.16x = 128,358,220.49
  5. Step 5: Solve for x
    x = 128,358,220.49/12,836.16
  6. Step 6: Final answer
    x = 9,999.74

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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.