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Finding the Fourth Proportional to 7,071.66, 10,612.96 and 4,895.60

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Solution

The fourth proportional to 7,071.66, 10,612.96 and 4,895.60 is: 7,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.66 : 10,612.96 = 4,895.60 : x
  2. Step 2: Convert to fraction form
    7,071.66/10,612.96 = 4,895.60/x
  3. Step 3: Cross multiply
    7,071.66x = 10,612.96 × 4,895.60
  4. Step 4: Simplify right side
    7,071.66x = 51,956,806.98
  5. Step 5: Solve for x
    x = 51,956,806.98/7,071.66
  6. Step 6: Final answer
    x = 7,347.19

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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.