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Finding the Fourth Proportional to 9,706.59, 14,560.50 and 2,590.70

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Solution

The fourth proportional to 9,706.59, 14,560.50 and 2,590.70 is: 3,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.59 : 14,560.50 = 2,590.70 : x
  2. Step 2: Convert to fraction form
    9,706.59/14,560.50 = 2,590.70/x
  3. Step 3: Cross multiply
    9,706.59x = 14,560.50 × 2,590.70
  4. Step 4: Simplify right side
    9,706.59x = 37,721,857.43
  5. Step 5: Solve for x
    x = 37,721,857.43/9,706.59
  6. Step 6: Final answer
    x = 3,886.21

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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.