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Finding the Fourth Proportional to 7,620.34, 10,514.16 and 4,788.16

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Solution

The fourth proportional to 7,620.34, 10,514.16 and 4,788.16 is: 6,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.34 : 10,514.16 = 4,788.16 : x
  2. Step 2: Convert to fraction form
    7,620.34/10,514.16 = 4,788.16/x
  3. Step 3: Cross multiply
    7,620.34x = 10,514.16 × 4,788.16
  4. Step 4: Simplify right side
    7,620.34x = 50,343,480.35
  5. Step 5: Solve for x
    x = 50,343,480.35/7,620.34
  6. Step 6: Final answer
    x = 6,606.46

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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.