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Finding the Fourth Proportional to 10,674.40, 16,019.84 and 4,835.12

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Solution

The fourth proportional to 10,674.40, 16,019.84 and 4,835.12 is: 7,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.40 : 16,019.84 = 4,835.12 : x
  2. Step 2: Convert to fraction form
    10,674.40/16,019.84 = 4,835.12/x
  3. Step 3: Cross multiply
    10,674.40x = 16,019.84 × 4,835.12
  4. Step 4: Simplify right side
    10,674.40x = 77,457,848.78
  5. Step 5: Solve for x
    x = 77,457,848.78/10,674.40
  6. Step 6: Final answer
    x = 7,256.41

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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.