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Finding the Fourth Proportional to 9,775.65, 14,663.51 and 2,380.11

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Solution

The fourth proportional to 9,775.65, 14,663.51 and 2,380.11 is: 3,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.65 : 14,663.51 = 2,380.11 : x
  2. Step 2: Convert to fraction form
    9,775.65/14,663.51 = 2,380.11/x
  3. Step 3: Cross multiply
    9,775.65x = 14,663.51 × 2,380.11
  4. Step 4: Simplify right side
    9,775.65x = 34,900,754.89
  5. Step 5: Solve for x
    x = 34,900,754.89/9,775.65
  6. Step 6: Final answer
    x = 3,570.17

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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.