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Finding the Fourth Proportional to 12,810.96, 19,213.52 and 4,602.96

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Solution

The fourth proportional to 12,810.96, 19,213.52 and 4,602.96 is: 6,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.96 : 19,213.52 = 4,602.96 : x
  2. Step 2: Convert to fraction form
    12,810.96/19,213.52 = 4,602.96/x
  3. Step 3: Cross multiply
    12,810.96x = 19,213.52 × 4,602.96
  4. Step 4: Simplify right side
    12,810.96x = 88,439,064.02
  5. Step 5: Solve for x
    x = 88,439,064.02/12,810.96
  6. Step 6: Final answer
    x = 6,903.39

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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.