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Finding the Fourth Proportional to 12,702.78, 17,526.67 and 7,326.86

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Solution

The fourth proportional to 12,702.78, 17,526.67 and 7,326.86 is: 10,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.78 : 17,526.67 = 7,326.86 : x
  2. Step 2: Convert to fraction form
    12,702.78/17,526.67 = 7,326.86/x
  3. Step 3: Cross multiply
    12,702.78x = 17,526.67 × 7,326.86
  4. Step 4: Simplify right side
    12,702.78x = 128,415,457.36
  5. Step 5: Solve for x
    x = 128,415,457.36/12,702.78
  6. Step 6: Final answer
    x = 10,109.24

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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.