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Finding the Fourth Proportional to 7,763.36, 11,643.12 and 4,840.16

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Solution

The fourth proportional to 7,763.36, 11,643.12 and 4,840.16 is: 7,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.36 : 11,643.12 = 4,840.16 : x
  2. Step 2: Convert to fraction form
    7,763.36/11,643.12 = 4,840.16/x
  3. Step 3: Cross multiply
    7,763.36x = 11,643.12 × 4,840.16
  4. Step 4: Simplify right side
    7,763.36x = 56,354,563.70
  5. Step 5: Solve for x
    x = 56,354,563.70/7,763.36
  6. Step 6: Final answer
    x = 7,259.04

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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.