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Finding the Fourth Proportional to 24,457.16, 36,681.06 and 6,922.76

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Solution

The fourth proportional to 24,457.16, 36,681.06 and 6,922.76 is: 10,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.16 : 36,681.06 = 6,922.76 : x
  2. Step 2: Convert to fraction form
    24,457.16/36,681.06 = 6,922.76/x
  3. Step 3: Cross multiply
    24,457.16x = 36,681.06 × 6,922.76
  4. Step 4: Simplify right side
    24,457.16x = 253,934,174.93
  5. Step 5: Solve for x
    x = 253,934,174.93/24,457.16
  6. Step 6: Final answer
    x = 10,382.82

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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.