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Finding the Fourth Proportional to 12,733.32, 17,573.88 and 7,427.40

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Solution

The fourth proportional to 12,733.32, 17,573.88 and 7,427.40 is: 10,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.32 : 17,573.88 = 7,427.40 : x
  2. Step 2: Convert to fraction form
    12,733.32/17,573.88 = 7,427.40/x
  3. Step 3: Cross multiply
    12,733.32x = 17,573.88 × 7,427.40
  4. Step 4: Simplify right side
    12,733.32x = 130,528,236.31
  5. Step 5: Solve for x
    x = 130,528,236.31/12,733.32
  6. Step 6: Final answer
    x = 10,250.92

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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.