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Finding the Fourth Proportional to 9,853.70, 14,798.16 and 9,457.31

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Solution

The fourth proportional to 9,853.70, 14,798.16 and 9,457.31 is: 14,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.70 : 14,798.16 = 9,457.31 : x
  2. Step 2: Convert to fraction form
    9,853.70/14,798.16 = 9,457.31/x
  3. Step 3: Cross multiply
    9,853.70x = 14,798.16 × 9,457.31
  4. Step 4: Simplify right side
    9,853.70x = 139,950,786.55
  5. Step 5: Solve for x
    x = 139,950,786.55/9,853.70
  6. Step 6: Final answer
    x = 14,202.87

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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.