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Finding the Fourth Proportional to 14,971.65, 22,457.31 and 5,737.65

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Solution

The fourth proportional to 14,971.65, 22,457.31 and 5,737.65 is: 8,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.65 : 22,457.31 = 5,737.65 : x
  2. Step 2: Convert to fraction form
    14,971.65/22,457.31 = 5,737.65/x
  3. Step 3: Cross multiply
    14,971.65x = 22,457.31 × 5,737.65
  4. Step 4: Simplify right side
    14,971.65x = 128,852,184.72
  5. Step 5: Solve for x
    x = 128,852,184.72/14,971.65
  6. Step 6: Final answer
    x = 8,606.41

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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.