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Finding the Fourth Proportional to 9,817.13, 14,719.82 and 6,658.46

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Solution

The fourth proportional to 9,817.13, 14,719.82 and 6,658.46 is: 9,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.13 : 14,719.82 = 6,658.46 : x
  2. Step 2: Convert to fraction form
    9,817.13/14,719.82 = 6,658.46/x
  3. Step 3: Cross multiply
    9,817.13x = 14,719.82 × 6,658.46
  4. Step 4: Simplify right side
    9,817.13x = 98,011,225.79
  5. Step 5: Solve for x
    x = 98,011,225.79/9,817.13
  6. Step 6: Final answer
    x = 9,983.70

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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.