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Finding the Fourth Proportional to 12,607.84, 17,398.08 and 7,302.28

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Solution

The fourth proportional to 12,607.84, 17,398.08 and 7,302.28 is: 10,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.84 : 17,398.08 = 7,302.28 : x
  2. Step 2: Convert to fraction form
    12,607.84/17,398.08 = 7,302.28/x
  3. Step 3: Cross multiply
    12,607.84x = 17,398.08 × 7,302.28
  4. Step 4: Simplify right side
    12,607.84x = 127,045,651.62
  5. Step 5: Solve for x
    x = 127,045,651.62/12,607.84
  6. Step 6: Final answer
    x = 10,076.72

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Half scale
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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.