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Finding the Fourth Proportional to 9,873.28, 14,722.84 and 9,784.38

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Solution

The fourth proportional to 9,873.28, 14,722.84 and 9,784.38 is: 14,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.28 : 14,722.84 = 9,784.38 : x
  2. Step 2: Convert to fraction form
    9,873.28/14,722.84 = 9,784.38/x
  3. Step 3: Cross multiply
    9,873.28x = 14,722.84 × 9,784.38
  4. Step 4: Simplify right side
    9,873.28x = 144,053,861.24
  5. Step 5: Solve for x
    x = 144,053,861.24/9,873.28
  6. Step 6: Final answer
    x = 14,590.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.