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Finding the Fourth Proportional to 9,953, 13,734.50 and 5,762.60

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Solution

The fourth proportional to 9,953, 13,734.50 and 5,762.60 is: 7,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953 : 13,734.50 = 5,762.60 : x
  2. Step 2: Convert to fraction form
    9,953/13,734.50 = 5,762.60/x
  3. Step 3: Cross multiply
    9,953x = 13,734.50 × 5,762.60
  4. Step 4: Simplify right side
    9,953x = 79,146,429.70
  5. Step 5: Solve for x
    x = 79,146,429.70/9,953
  6. Step 6: Final answer
    x = 7,952.02

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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.