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Finding the Fourth Proportional to 13,011.94, 19,524.74 and 7,093.07

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Solution

The fourth proportional to 13,011.94, 19,524.74 and 7,093.07 is: 10,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.94 : 19,524.74 = 7,093.07 : x
  2. Step 2: Convert to fraction form
    13,011.94/19,524.74 = 7,093.07/x
  3. Step 3: Cross multiply
    13,011.94x = 19,524.74 × 7,093.07
  4. Step 4: Simplify right side
    13,011.94x = 138,490,214.46
  5. Step 5: Solve for x
    x = 138,490,214.46/13,011.94
  6. Step 6: Final answer
    x = 10,643.32

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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.