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Finding the Fourth Proportional to 11,206.16, 15,454.44 and 7,014.80

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Solution

The fourth proportional to 11,206.16, 15,454.44 and 7,014.80 is: 9,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.16 : 15,454.44 = 7,014.80 : x
  2. Step 2: Convert to fraction form
    11,206.16/15,454.44 = 7,014.80/x
  3. Step 3: Cross multiply
    11,206.16x = 15,454.44 × 7,014.80
  4. Step 4: Simplify right side
    11,206.16x = 108,409,805.71
  5. Step 5: Solve for x
    x = 108,409,805.71/11,206.16
  6. Step 6: Final answer
    x = 9,674.13

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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.