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Finding the Fourth Proportional to 12,870.52, 19,303.46 and 6,944.64

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Solution

The fourth proportional to 12,870.52, 19,303.46 and 6,944.64 is: 10,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.52 : 19,303.46 = 6,944.64 : x
  2. Step 2: Convert to fraction form
    12,870.52/19,303.46 = 6,944.64/x
  3. Step 3: Cross multiply
    12,870.52x = 19,303.46 × 6,944.64
  4. Step 4: Simplify right side
    12,870.52x = 134,055,580.45
  5. Step 5: Solve for x
    x = 134,055,580.45/12,870.52
  6. Step 6: Final answer
    x = 10,415.71

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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.