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Finding the Fourth Proportional to 9,760.69, 14,641.08 and 2,365.13

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Solution

The fourth proportional to 9,760.69, 14,641.08 and 2,365.13 is: 3,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.69 : 14,641.08 = 2,365.13 : x
  2. Step 2: Convert to fraction form
    9,760.69/14,641.08 = 2,365.13/x
  3. Step 3: Cross multiply
    9,760.69x = 14,641.08 × 2,365.13
  4. Step 4: Simplify right side
    9,760.69x = 34,628,085.27
  5. Step 5: Solve for x
    x = 34,628,085.27/9,760.69
  6. Step 6: Final answer
    x = 3,547.71

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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.