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Finding the Fourth Proportional to 12,894.96, 19,316.52 and 6,726

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Solution

The fourth proportional to 12,894.96, 19,316.52 and 6,726 is: 10,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.96 : 19,316.52 = 6,726 : x
  2. Step 2: Convert to fraction form
    12,894.96/19,316.52 = 6,726/x
  3. Step 3: Cross multiply
    12,894.96x = 19,316.52 × 6,726
  4. Step 4: Simplify right side
    12,894.96x = 129,922,913.52
  5. Step 5: Solve for x
    x = 129,922,913.52/12,894.96
  6. Step 6: Final answer
    x = 10,075.48

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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.