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Finding the Fourth Proportional to 8,461.63, 12,686.84 and 4,510.38

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Solution

The fourth proportional to 8,461.63, 12,686.84 and 4,510.38 is: 6,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.63 : 12,686.84 = 4,510.38 : x
  2. Step 2: Convert to fraction form
    8,461.63/12,686.84 = 4,510.38/x
  3. Step 3: Cross multiply
    8,461.63x = 12,686.84 × 4,510.38
  4. Step 4: Simplify right side
    8,461.63x = 57,222,536.71
  5. Step 5: Solve for x
    x = 57,222,536.71/8,461.63
  6. Step 6: Final answer
    x = 6,762.59

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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.