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Finding the Fourth Proportional to 14,715.40, 22,098.70 and 7,803.40

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Solution

The fourth proportional to 14,715.40, 22,098.70 and 7,803.40 is: 11,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,715.40 : 22,098.70 = 7,803.40 : x
  2. Step 2: Convert to fraction form
    14,715.40/22,098.70 = 7,803.40/x
  3. Step 3: Cross multiply
    14,715.40x = 22,098.70 × 7,803.40
  4. Step 4: Simplify right side
    14,715.40x = 172,444,995.58
  5. Step 5: Solve for x
    x = 172,444,995.58/14,715.40
  6. Step 6: Final answer
    x = 11,718.68

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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.