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Finding the Fourth Proportional to 8,971.04, 12,380 and 4,992.32

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Solution

The fourth proportional to 8,971.04, 12,380 and 4,992.32 is: 6,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.04 : 12,380 = 4,992.32 : x
  2. Step 2: Convert to fraction form
    8,971.04/12,380 = 4,992.32/x
  3. Step 3: Cross multiply
    8,971.04x = 12,380 × 4,992.32
  4. Step 4: Simplify right side
    8,971.04x = 61,804,921.60
  5. Step 5: Solve for x
    x = 61,804,921.60/8,971.04
  6. Step 6: Final answer
    x = 6,889.38

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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.