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Finding the Fourth Proportional to 9,899.04, 14,846.13 and 4,353.78

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Solution

The fourth proportional to 9,899.04, 14,846.13 and 4,353.78 is: 6,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.04 : 14,846.13 = 4,353.78 : x
  2. Step 2: Convert to fraction form
    9,899.04/14,846.13 = 4,353.78/x
  3. Step 3: Cross multiply
    9,899.04x = 14,846.13 × 4,353.78
  4. Step 4: Simplify right side
    9,899.04x = 64,636,783.87
  5. Step 5: Solve for x
    x = 64,636,783.87/9,899.04
  6. Step 6: Final answer
    x = 6,529.60

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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.