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Finding the Fourth Proportional to 9,751.66, 13,457.22 and 5,275.34

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Solution

The fourth proportional to 9,751.66, 13,457.22 and 5,275.34 is: 7,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.66 : 13,457.22 = 5,275.34 : x
  2. Step 2: Convert to fraction form
    9,751.66/13,457.22 = 5,275.34/x
  3. Step 3: Cross multiply
    9,751.66x = 13,457.22 × 5,275.34
  4. Step 4: Simplify right side
    9,751.66x = 70,991,384.58
  5. Step 5: Solve for x
    x = 70,991,384.58/9,751.66
  6. Step 6: Final answer
    x = 7,279.93

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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.