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Finding the Fourth Proportional to 10,497.81, 14,486.81 and 5,782.53

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Solution

The fourth proportional to 10,497.81, 14,486.81 and 5,782.53 is: 7,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.81 : 14,486.81 = 5,782.53 : x
  2. Step 2: Convert to fraction form
    10,497.81/14,486.81 = 5,782.53/x
  3. Step 3: Cross multiply
    10,497.81x = 14,486.81 × 5,782.53
  4. Step 4: Simplify right side
    10,497.81x = 83,770,384.52
  5. Step 5: Solve for x
    x = 83,770,384.52/10,497.81
  6. Step 6: Final answer
    x = 7,979.80

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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.