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Finding the Fourth Proportional to 13,706.35, 20,560.02 and 7,041.06

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Solution

The fourth proportional to 13,706.35, 20,560.02 and 7,041.06 is: 10,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.35 : 20,560.02 = 7,041.06 : x
  2. Step 2: Convert to fraction form
    13,706.35/20,560.02 = 7,041.06/x
  3. Step 3: Cross multiply
    13,706.35x = 20,560.02 × 7,041.06
  4. Step 4: Simplify right side
    13,706.35x = 144,764,334.42
  5. Step 5: Solve for x
    x = 144,764,334.42/13,706.35
  6. Step 6: Final answer
    x = 10,561.84

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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.