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Finding the Fourth Proportional to 11,457.72, 17,125.92 and 9,965.16

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Solution

The fourth proportional to 11,457.72, 17,125.92 and 9,965.16 is: 14,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.72 : 17,125.92 = 9,965.16 : x
  2. Step 2: Convert to fraction form
    11,457.72/17,125.92 = 9,965.16/x
  3. Step 3: Cross multiply
    11,457.72x = 17,125.92 × 9,965.16
  4. Step 4: Simplify right side
    11,457.72x = 170,662,532.95
  5. Step 5: Solve for x
    x = 170,662,532.95/11,457.72
  6. Step 6: Final answer
    x = 14,894.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.