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Finding the Fourth Proportional to 8,583.98, 12,806.92 and 7,648.40

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Solution

The fourth proportional to 8,583.98, 12,806.92 and 7,648.40 is: 11,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.98 : 12,806.92 = 7,648.40 : x
  2. Step 2: Convert to fraction form
    8,583.98/12,806.92 = 7,648.40/x
  3. Step 3: Cross multiply
    8,583.98x = 12,806.92 × 7,648.40
  4. Step 4: Simplify right side
    8,583.98x = 97,952,446.93
  5. Step 5: Solve for x
    x = 97,952,446.93/8,583.98
  6. Step 6: Final answer
    x = 11,411.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.