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Finding the Fourth Proportional to 9,807.10, 13,510.90 and 6,817.74

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Solution

The fourth proportional to 9,807.10, 13,510.90 and 6,817.74 is: 9,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.10 : 13,510.90 = 6,817.74 : x
  2. Step 2: Convert to fraction form
    9,807.10/13,510.90 = 6,817.74/x
  3. Step 3: Cross multiply
    9,807.10x = 13,510.90 × 6,817.74
  4. Step 4: Simplify right side
    9,807.10x = 92,113,803.37
  5. Step 5: Solve for x
    x = 92,113,803.37/9,807.10
  6. Step 6: Final answer
    x = 9,392.56

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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.