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Finding the Fourth Proportional to 14,477.16, 19,982.43 and 8,510.77

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Solution

The fourth proportional to 14,477.16, 19,982.43 and 8,510.77 is: 11,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.16 : 19,982.43 = 8,510.77 : x
  2. Step 2: Convert to fraction form
    14,477.16/19,982.43 = 8,510.77/x
  3. Step 3: Cross multiply
    14,477.16x = 19,982.43 × 8,510.77
  4. Step 4: Simplify right side
    14,477.16x = 170,065,890.75
  5. Step 5: Solve for x
    x = 170,065,890.75/14,477.16
  6. Step 6: Final answer
    x = 11,747.18

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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.