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Finding the Fourth Proportional to 10,710.68, 14,782.46 and 8,187.93

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Solution

The fourth proportional to 10,710.68, 14,782.46 and 8,187.93 is: 11,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.68 : 14,782.46 = 8,187.93 : x
  2. Step 2: Convert to fraction form
    10,710.68/14,782.46 = 8,187.93/x
  3. Step 3: Cross multiply
    10,710.68x = 14,782.46 × 8,187.93
  4. Step 4: Simplify right side
    10,710.68x = 121,037,706.77
  5. Step 5: Solve for x
    x = 121,037,706.77/10,710.68
  6. Step 6: Final answer
    x = 11,300.66

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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.