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Finding the Fourth Proportional to 10,815.84, 14,925.81 and 5,847.84

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Solution

The fourth proportional to 10,815.84, 14,925.81 and 5,847.84 is: 8,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.84 : 14,925.81 = 5,847.84 : x
  2. Step 2: Convert to fraction form
    10,815.84/14,925.81 = 5,847.84/x
  3. Step 3: Cross multiply
    10,815.84x = 14,925.81 × 5,847.84
  4. Step 4: Simplify right side
    10,815.84x = 87,283,748.75
  5. Step 5: Solve for x
    x = 87,283,748.75/10,815.84
  6. Step 6: Final answer
    x = 8,069.99

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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.