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Finding the Fourth Proportional to 10,568, 14,570.58 and 6,784.50

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Solution

The fourth proportional to 10,568, 14,570.58 and 6,784.50 is: 9,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568 : 14,570.58 = 6,784.50 : x
  2. Step 2: Convert to fraction form
    10,568/14,570.58 = 6,784.50/x
  3. Step 3: Cross multiply
    10,568x = 14,570.58 × 6,784.50
  4. Step 4: Simplify right side
    10,568x = 98,854,100.01
  5. Step 5: Solve for x
    x = 98,854,100.01/10,568
  6. Step 6: Final answer
    x = 9,354.10

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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.