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Finding the Fourth Proportional to 9,462.96, 14,192.48 and 8,994.64

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Solution

The fourth proportional to 9,462.96, 14,192.48 and 8,994.64 is: 13,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.96 : 14,192.48 = 8,994.64 : x
  2. Step 2: Convert to fraction form
    9,462.96/14,192.48 = 8,994.64/x
  3. Step 3: Cross multiply
    9,462.96x = 14,192.48 × 8,994.64
  4. Step 4: Simplify right side
    9,462.96x = 127,656,248.31
  5. Step 5: Solve for x
    x = 127,656,248.31/9,462.96
  6. Step 6: Final answer
    x = 13,490.10

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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.