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Finding the Fourth Proportional to 7,883.53, 10,878.10 and 4,898.27

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Solution

The fourth proportional to 7,883.53, 10,878.10 and 4,898.27 is: 6,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.53 : 10,878.10 = 4,898.27 : x
  2. Step 2: Convert to fraction form
    7,883.53/10,878.10 = 4,898.27/x
  3. Step 3: Cross multiply
    7,883.53x = 10,878.10 × 4,898.27
  4. Step 4: Simplify right side
    7,883.53x = 53,283,885.84
  5. Step 5: Solve for x
    x = 53,283,885.84/7,883.53
  6. Step 6: Final answer
    x = 6,758.89

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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.