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Finding the Fourth Proportional to 15,640.14, 23,455.98 and 7,312.02

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Solution

The fourth proportional to 15,640.14, 23,455.98 and 7,312.02 is: 10,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640.14 : 23,455.98 = 7,312.02 : x
  2. Step 2: Convert to fraction form
    15,640.14/23,455.98 = 7,312.02/x
  3. Step 3: Cross multiply
    15,640.14x = 23,455.98 × 7,312.02
  4. Step 4: Simplify right side
    15,640.14x = 171,510,594.88
  5. Step 5: Solve for x
    x = 171,510,594.88/15,640.14
  6. Step 6: Final answer
    x = 10,966.05

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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.