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Finding the Fourth Proportional to 11,405.40, 15,762.78 and 11,405.40

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Solution

The fourth proportional to 11,405.40, 15,762.78 and 11,405.40 is: 15,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.40 : 15,762.78 = 11,405.40 : x
  2. Step 2: Convert to fraction form
    11,405.40/15,762.78 = 11,405.40/x
  3. Step 3: Cross multiply
    11,405.40x = 15,762.78 × 11,405.40
  4. Step 4: Simplify right side
    11,405.40x = 179,780,811.01
  5. Step 5: Solve for x
    x = 179,780,811.01/11,405.40
  6. Step 6: Final answer
    x = 15,762.78

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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.