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Finding the Fourth Proportional to 12,815.95, 17,686.02 and 7,510.77

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Solution

The fourth proportional to 12,815.95, 17,686.02 and 7,510.77 is: 10,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.95 : 17,686.02 = 7,510.77 : x
  2. Step 2: Convert to fraction form
    12,815.95/17,686.02 = 7,510.77/x
  3. Step 3: Cross multiply
    12,815.95x = 17,686.02 × 7,510.77
  4. Step 4: Simplify right side
    12,815.95x = 132,835,628.44
  5. Step 5: Solve for x
    x = 132,835,628.44/12,815.95
  6. Step 6: Final answer
    x = 10,364.87

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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.