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Finding the Fourth Proportional to 10,600.14, 14,628 and 5,884.32

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Solution

The fourth proportional to 10,600.14, 14,628 and 5,884.32 is: 8,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.14 : 14,628 = 5,884.32 : x
  2. Step 2: Convert to fraction form
    10,600.14/14,628 = 5,884.32/x
  3. Step 3: Cross multiply
    10,600.14x = 14,628 × 5,884.32
  4. Step 4: Simplify right side
    10,600.14x = 86,075,832.96
  5. Step 5: Solve for x
    x = 86,075,832.96/10,600.14
  6. Step 6: Final answer
    x = 8,120.25

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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.