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Finding the Fourth Proportional to 4,706.89, 7,060.53 and 2,111.65

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Solution

The fourth proportional to 4,706.89, 7,060.53 and 2,111.65 is: 3,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.89 : 7,060.53 = 2,111.65 : x
  2. Step 2: Convert to fraction form
    4,706.89/7,060.53 = 2,111.65/x
  3. Step 3: Cross multiply
    4,706.89x = 7,060.53 × 2,111.65
  4. Step 4: Simplify right side
    4,706.89x = 14,909,368.17
  5. Step 5: Solve for x
    x = 14,909,368.17/4,706.89
  6. Step 6: Final answer
    x = 3,167.56

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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.