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Finding the Fourth Proportional to 7,461, 10,294.56 and 4,807.80

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Solution

The fourth proportional to 7,461, 10,294.56 and 4,807.80 is: 6,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461 : 10,294.56 = 4,807.80 : x
  2. Step 2: Convert to fraction form
    7,461/10,294.56 = 4,807.80/x
  3. Step 3: Cross multiply
    7,461x = 10,294.56 × 4,807.80
  4. Step 4: Simplify right side
    7,461x = 49,494,185.57
  5. Step 5: Solve for x
    x = 49,494,185.57/7,461
  6. Step 6: Final answer
    x = 6,633.72

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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.