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Finding the Fourth Proportional to 25,643.68, 38,465.76 and 8,113.60

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Solution

The fourth proportional to 25,643.68, 38,465.76 and 8,113.60 is: 12,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.68 : 38,465.76 = 8,113.60 : x
  2. Step 2: Convert to fraction form
    25,643.68/38,465.76 = 8,113.60/x
  3. Step 3: Cross multiply
    25,643.68x = 38,465.76 × 8,113.60
  4. Step 4: Simplify right side
    25,643.68x = 312,095,790.34
  5. Step 5: Solve for x
    x = 312,095,790.34/25,643.68
  6. Step 6: Final answer
    x = 12,170.48

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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.