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Finding the Fourth Proportional to 10,777.63, 14,872.94 and 6,585.88

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Solution

The fourth proportional to 10,777.63, 14,872.94 and 6,585.88 is: 9,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.63 : 14,872.94 = 6,585.88 : x
  2. Step 2: Convert to fraction form
    10,777.63/14,872.94 = 6,585.88/x
  3. Step 3: Cross multiply
    10,777.63x = 14,872.94 × 6,585.88
  4. Step 4: Simplify right side
    10,777.63x = 97,951,398.09
  5. Step 5: Solve for x
    x = 97,951,398.09/10,777.63
  6. Step 6: Final answer
    x = 9,088.40

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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.