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Finding the Fourth Proportional to 10,531.94, 14,533.98 and 5,816.28

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Solution

The fourth proportional to 10,531.94, 14,533.98 and 5,816.28 is: 8,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.94 : 14,533.98 = 5,816.28 : x
  2. Step 2: Convert to fraction form
    10,531.94/14,533.98 = 5,816.28/x
  3. Step 3: Cross multiply
    10,531.94x = 14,533.98 × 5,816.28
  4. Step 4: Simplify right side
    10,531.94x = 84,533,697.19
  5. Step 5: Solve for x
    x = 84,533,697.19/10,531.94
  6. Step 6: Final answer
    x = 8,026.41

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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.