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Finding the Fourth Proportional to 13,000.51, 19,488.46 and 8,005.95

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Solution

The fourth proportional to 13,000.51, 19,488.46 and 8,005.95 is: 12,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.51 : 19,488.46 = 8,005.95 : x
  2. Step 2: Convert to fraction form
    13,000.51/19,488.46 = 8,005.95/x
  3. Step 3: Cross multiply
    13,000.51x = 19,488.46 × 8,005.95
  4. Step 4: Simplify right side
    13,000.51x = 156,023,636.34
  5. Step 5: Solve for x
    x = 156,023,636.34/13,000.51
  6. Step 6: Final answer
    x = 12,001.35

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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.