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Finding the Fourth Proportional to 8,457.98, 11,668.10 and 5,474.77

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Solution

The fourth proportional to 8,457.98, 11,668.10 and 5,474.77 is: 7,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.98 : 11,668.10 = 5,474.77 : x
  2. Step 2: Convert to fraction form
    8,457.98/11,668.10 = 5,474.77/x
  3. Step 3: Cross multiply
    8,457.98x = 11,668.10 × 5,474.77
  4. Step 4: Simplify right side
    8,457.98x = 63,880,148.35
  5. Step 5: Solve for x
    x = 63,880,148.35/8,457.98
  6. Step 6: Final answer
    x = 7,552.65

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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.