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Finding the Fourth Proportional to 7,706.61, 11,557.08 and 2,774.93

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Solution

The fourth proportional to 7,706.61, 11,557.08 and 2,774.93 is: 4,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.61 : 11,557.08 = 2,774.93 : x
  2. Step 2: Convert to fraction form
    7,706.61/11,557.08 = 2,774.93/x
  3. Step 3: Cross multiply
    7,706.61x = 11,557.08 × 2,774.93
  4. Step 4: Simplify right side
    7,706.61x = 32,070,030.22
  5. Step 5: Solve for x
    x = 32,070,030.22/7,706.61
  6. Step 6: Final answer
    x = 4,161.37

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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.