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Finding the Fourth Proportional to 9,810.56, 14,715.70 and 3,965.60

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Solution

The fourth proportional to 9,810.56, 14,715.70 and 3,965.60 is: 5,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.56 : 14,715.70 = 3,965.60 : x
  2. Step 2: Convert to fraction form
    9,810.56/14,715.70 = 3,965.60/x
  3. Step 3: Cross multiply
    9,810.56x = 14,715.70 × 3,965.60
  4. Step 4: Simplify right side
    9,810.56x = 58,356,579.92
  5. Step 5: Solve for x
    x = 58,356,579.92/9,810.56
  6. Step 6: Final answer
    x = 5,948.34

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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.