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Finding the Fourth Proportional to 7,580.46, 10,456.14 and 4,895.10

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Solution

The fourth proportional to 7,580.46, 10,456.14 and 4,895.10 is: 6,752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.46 : 10,456.14 = 4,895.10 : x
  2. Step 2: Convert to fraction form
    7,580.46/10,456.14 = 4,895.10/x
  3. Step 3: Cross multiply
    7,580.46x = 10,456.14 × 4,895.10
  4. Step 4: Simplify right side
    7,580.46x = 51,183,850.91
  5. Step 5: Solve for x
    x = 51,183,850.91/7,580.46
  6. Step 6: Final answer
    x = 6,752.08

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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.