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Finding the Fourth Proportional to 9,809.70, 14,709.51 and 2,883.30

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Solution

The fourth proportional to 9,809.70, 14,709.51 and 2,883.30 is: 4,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.70 : 14,709.51 = 2,883.30 : x
  2. Step 2: Convert to fraction form
    9,809.70/14,709.51 = 2,883.30/x
  3. Step 3: Cross multiply
    9,809.70x = 14,709.51 × 2,883.30
  4. Step 4: Simplify right side
    9,809.70x = 42,411,930.18
  5. Step 5: Solve for x
    x = 42,411,930.18/9,809.70
  6. Step 6: Final answer
    x = 4,323.47

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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.