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Finding the Fourth Proportional to 10,967.32, 16,450.98 and 4,807

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Solution

The fourth proportional to 10,967.32, 16,450.98 and 4,807 is: 7,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.32 : 16,450.98 = 4,807 : x
  2. Step 2: Convert to fraction form
    10,967.32/16,450.98 = 4,807/x
  3. Step 3: Cross multiply
    10,967.32x = 16,450.98 × 4,807
  4. Step 4: Simplify right side
    10,967.32x = 79,079,860.86
  5. Step 5: Solve for x
    x = 79,079,860.86/10,967.32
  6. Step 6: Final answer
    x = 7,210.50

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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.