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Finding the Fourth Proportional to 6,520.48, 9,769.68 and 4,662.16

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Solution

The fourth proportional to 6,520.48, 9,769.68 and 4,662.16 is: 6,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.48 : 9,769.68 = 4,662.16 : x
  2. Step 2: Convert to fraction form
    6,520.48/9,769.68 = 4,662.16/x
  3. Step 3: Cross multiply
    6,520.48x = 9,769.68 × 4,662.16
  4. Step 4: Simplify right side
    6,520.48x = 45,547,811.31
  5. Step 5: Solve for x
    x = 45,547,811.31/6,520.48
  6. Step 6: Final answer
    x = 6,985.35

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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.