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Finding the Fourth Proportional to 9,787.05, 14,680.58 and 7,713.45

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Solution

The fourth proportional to 9,787.05, 14,680.58 and 7,713.45 is: 11,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.05 : 14,680.58 = 7,713.45 : x
  2. Step 2: Convert to fraction form
    9,787.05/14,680.58 = 7,713.45/x
  3. Step 3: Cross multiply
    9,787.05x = 14,680.58 × 7,713.45
  4. Step 4: Simplify right side
    9,787.05x = 113,237,881.23
  5. Step 5: Solve for x
    x = 113,237,881.23/9,787.05
  6. Step 6: Final answer
    x = 11,570.18

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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.