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Finding the Fourth Proportional to 9,457, 13,050.68 and 5,266.24

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Solution

The fourth proportional to 9,457, 13,050.68 and 5,266.24 is: 7,267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457 : 13,050.68 = 5,266.24 : x
  2. Step 2: Convert to fraction form
    9,457/13,050.68 = 5,266.24/x
  3. Step 3: Cross multiply
    9,457x = 13,050.68 × 5,266.24
  4. Step 4: Simplify right side
    9,457x = 68,728,013.04
  5. Step 5: Solve for x
    x = 68,728,013.04/9,457
  6. Step 6: Final answer
    x = 7,267.42

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Double scale
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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.