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Finding the Fourth Proportional to 9,992.64, 14,992.32 and 4,449.76

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Solution

The fourth proportional to 9,992.64, 14,992.32 and 4,449.76 is: 6,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.64 : 14,992.32 = 4,449.76 : x
  2. Step 2: Convert to fraction form
    9,992.64/14,992.32 = 4,449.76/x
  3. Step 3: Cross multiply
    9,992.64x = 14,992.32 × 4,449.76
  4. Step 4: Simplify right side
    9,992.64x = 66,712,225.84
  5. Step 5: Solve for x
    x = 66,712,225.84/9,992.64
  6. Step 6: Final answer
    x = 6,676.14

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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.