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Finding the Fourth Proportional to 12,508.95, 17,266.71 and 7,205.88

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Solution

The fourth proportional to 12,508.95, 17,266.71 and 7,205.88 is: 9,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,508.95 : 17,266.71 = 7,205.88 : x
  2. Step 2: Convert to fraction form
    12,508.95/17,266.71 = 7,205.88/x
  3. Step 3: Cross multiply
    12,508.95x = 17,266.71 × 7,205.88
  4. Step 4: Simplify right side
    12,508.95x = 124,421,840.25
  5. Step 5: Solve for x
    x = 124,421,840.25/12,508.95
  6. Step 6: Final answer
    x = 9,946.63

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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.