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Finding the Fourth Proportional to 9,412.60, 14,102.70 and 4,471.60

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Solution

The fourth proportional to 9,412.60, 14,102.70 and 4,471.60 is: 6,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.60 : 14,102.70 = 4,471.60 : x
  2. Step 2: Convert to fraction form
    9,412.60/14,102.70 = 4,471.60/x
  3. Step 3: Cross multiply
    9,412.60x = 14,102.70 × 4,471.60
  4. Step 4: Simplify right side
    9,412.60x = 63,061,633.32
  5. Step 5: Solve for x
    x = 63,061,633.32/9,412.60
  6. Step 6: Final answer
    x = 6,699.70

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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.