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Finding the Fourth Proportional to 9,764.04, 14,621 and 5,376.60

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Solution

The fourth proportional to 9,764.04, 14,621 and 5,376.60 is: 8,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.04 : 14,621 = 5,376.60 : x
  2. Step 2: Convert to fraction form
    9,764.04/14,621 = 5,376.60/x
  3. Step 3: Cross multiply
    9,764.04x = 14,621 × 5,376.60
  4. Step 4: Simplify right side
    9,764.04x = 78,611,268.60
  5. Step 5: Solve for x
    x = 78,611,268.60/9,764.04
  6. Step 6: Final answer
    x = 8,051.10

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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.