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Finding the Fourth Proportional to 10,674.60, 16,011.90 and 4,842.60

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Solution

The fourth proportional to 10,674.60, 16,011.90 and 4,842.60 is: 7,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.60 : 16,011.90 = 4,842.60 : x
  2. Step 2: Convert to fraction form
    10,674.60/16,011.90 = 4,842.60/x
  3. Step 3: Cross multiply
    10,674.60x = 16,011.90 × 4,842.60
  4. Step 4: Simplify right side
    10,674.60x = 77,539,226.94
  5. Step 5: Solve for x
    x = 77,539,226.94/10,674.60
  6. Step 6: Final answer
    x = 7,263.90

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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.