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Finding the Fourth Proportional to 10,586.80, 14,603.10 and 6,814.84

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Solution

The fourth proportional to 10,586.80, 14,603.10 and 6,814.84 is: 9,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.80 : 14,603.10 = 6,814.84 : x
  2. Step 2: Convert to fraction form
    10,586.80/14,603.10 = 6,814.84/x
  3. Step 3: Cross multiply
    10,586.80x = 14,603.10 × 6,814.84
  4. Step 4: Simplify right side
    10,586.80x = 99,517,790.00
  5. Step 5: Solve for x
    x = 99,517,790.00/10,586.80
  6. Step 6: Final answer
    x = 9,400.18

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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.