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Finding the Fourth Proportional to 14,256.12, 19,672.54 and 7,882.54

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Solution

The fourth proportional to 14,256.12, 19,672.54 and 7,882.54 is: 10,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.12 : 19,672.54 = 7,882.54 : x
  2. Step 2: Convert to fraction form
    14,256.12/19,672.54 = 7,882.54/x
  3. Step 3: Cross multiply
    14,256.12x = 19,672.54 × 7,882.54
  4. Step 4: Simplify right side
    14,256.12x = 155,069,583.45
  5. Step 5: Solve for x
    x = 155,069,583.45/14,256.12
  6. Step 6: Final answer
    x = 10,877.40

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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.