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Finding the Fourth Proportional to 34,165.86, 51,264.60 and 13,098.86

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Solution

The fourth proportional to 34,165.86, 51,264.60 and 13,098.86 is: 19,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,165.86 : 51,264.60 = 13,098.86 : x
  2. Step 2: Convert to fraction form
    34,165.86/51,264.60 = 13,098.86/x
  3. Step 3: Cross multiply
    34,165.86x = 51,264.60 × 13,098.86
  4. Step 4: Simplify right side
    34,165.86x = 671,507,818.36
  5. Step 5: Solve for x
    x = 671,507,818.36/34,165.86
  6. Step 6: Final answer
    x = 19,654.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.