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Finding the Fourth Proportional to 9,670.62, 14,510.79 and 7,210.38

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Solution

The fourth proportional to 9,670.62, 14,510.79 and 7,210.38 is: 10,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.62 : 14,510.79 = 7,210.38 : x
  2. Step 2: Convert to fraction form
    9,670.62/14,510.79 = 7,210.38/x
  3. Step 3: Cross multiply
    9,670.62x = 14,510.79 × 7,210.38
  4. Step 4: Simplify right side
    9,670.62x = 104,628,310.00
  5. Step 5: Solve for x
    x = 104,628,310.00/9,670.62
  6. Step 6: Final answer
    x = 10,819.19

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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.