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Finding the Fourth Proportional to 9,785.21, 14,669.00 and 4,784.67

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Solution

The fourth proportional to 9,785.21, 14,669.00 and 4,784.67 is: 7,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.21 : 14,669.00 = 4,784.67 : x
  2. Step 2: Convert to fraction form
    9,785.21/14,669.00 = 4,784.67/x
  3. Step 3: Cross multiply
    9,785.21x = 14,669.00 × 4,784.67
  4. Step 4: Simplify right side
    9,785.21x = 70,186,318.25
  5. Step 5: Solve for x
    x = 70,186,318.25/9,785.21
  6. Step 6: Final answer
    x = 7,172.70

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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.