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Finding the Fourth Proportional to 7,080, 9,769.03 and 4,561.57

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Solution

The fourth proportional to 7,080, 9,769.03 and 4,561.57 is: 6,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080 : 9,769.03 = 4,561.57 : x
  2. Step 2: Convert to fraction form
    7,080/9,769.03 = 4,561.57/x
  3. Step 3: Cross multiply
    7,080x = 9,769.03 × 4,561.57
  4. Step 4: Simplify right side
    7,080x = 44,562,114.18
  5. Step 5: Solve for x
    x = 44,562,114.18/7,080
  6. Step 6: Final answer
    x = 6,294.08

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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.