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Finding the Fourth Proportional to 9,867.01, 14,800.58 and 2,471.50

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Solution

The fourth proportional to 9,867.01, 14,800.58 and 2,471.50 is: 3,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.01 : 14,800.58 = 2,471.50 : x
  2. Step 2: Convert to fraction form
    9,867.01/14,800.58 = 2,471.50/x
  3. Step 3: Cross multiply
    9,867.01x = 14,800.58 × 2,471.50
  4. Step 4: Simplify right side
    9,867.01x = 36,579,633.47
  5. Step 5: Solve for x
    x = 36,579,633.47/9,867.01
  6. Step 6: Final answer
    x = 3,707.27

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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.