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Finding the Fourth Proportional to 30,674.60, 46,011.88 and 9,898.12

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Solution

The fourth proportional to 30,674.60, 46,011.88 and 9,898.12 is: 14,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.60 : 46,011.88 = 9,898.12 : x
  2. Step 2: Convert to fraction form
    30,674.60/46,011.88 = 9,898.12/x
  3. Step 3: Cross multiply
    30,674.60x = 46,011.88 × 9,898.12
  4. Step 4: Simplify right side
    30,674.60x = 455,431,109.67
  5. Step 5: Solve for x
    x = 455,431,109.67/30,674.60
  6. Step 6: Final answer
    x = 14,847.17

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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.