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Finding the Fourth Proportional to 10,657.74, 14,706.65 and 6,181.79

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Solution

The fourth proportional to 10,657.74, 14,706.65 and 6,181.79 is: 8,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.74 : 14,706.65 = 6,181.79 : x
  2. Step 2: Convert to fraction form
    10,657.74/14,706.65 = 6,181.79/x
  3. Step 3: Cross multiply
    10,657.74x = 14,706.65 × 6,181.79
  4. Step 4: Simplify right side
    10,657.74x = 90,913,317.46
  5. Step 5: Solve for x
    x = 90,913,317.46/10,657.74
  6. Step 6: Final answer
    x = 8,530.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.