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Finding the Fourth Proportional to 9,763.04, 14,647.62 and 3,187.68

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Solution

The fourth proportional to 9,763.04, 14,647.62 and 3,187.68 is: 4,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.04 : 14,647.62 = 3,187.68 : x
  2. Step 2: Convert to fraction form
    9,763.04/14,647.62 = 3,187.68/x
  3. Step 3: Cross multiply
    9,763.04x = 14,647.62 × 3,187.68
  4. Step 4: Simplify right side
    9,763.04x = 46,691,925.32
  5. Step 5: Solve for x
    x = 46,691,925.32/9,763.04
  6. Step 6: Final answer
    x = 4,782.52

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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.