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Finding the Fourth Proportional to 10,533.68, 14,535.80 and 5,817.68

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Solution

The fourth proportional to 10,533.68, 14,535.80 and 5,817.68 is: 8,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.68 : 14,535.80 = 5,817.68 : x
  2. Step 2: Convert to fraction form
    10,533.68/14,535.80 = 5,817.68/x
  3. Step 3: Cross multiply
    10,533.68x = 14,535.80 × 5,817.68
  4. Step 4: Simplify right side
    10,533.68x = 84,564,632.94
  5. Step 5: Solve for x
    x = 84,564,632.94/10,533.68
  6. Step 6: Final answer
    x = 8,028.02

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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.