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Finding the Fourth Proportional to 9,416.84, 12,995.52 and 5,225

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Solution

The fourth proportional to 9,416.84, 12,995.52 and 5,225 is: 7,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.84 : 12,995.52 = 5,225 : x
  2. Step 2: Convert to fraction form
    9,416.84/12,995.52 = 5,225/x
  3. Step 3: Cross multiply
    9,416.84x = 12,995.52 × 5,225
  4. Step 4: Simplify right side
    9,416.84x = 67,901,592
  5. Step 5: Solve for x
    x = 67,901,592/9,416.84
  6. Step 6: Final answer
    x = 7,210.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.