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Finding the Fourth Proportional to 10,560, 14,559.54 and 6,776.49

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Solution

The fourth proportional to 10,560, 14,559.54 and 6,776.49 is: 9,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560 : 14,559.54 = 6,776.49 : x
  2. Step 2: Convert to fraction form
    10,560/14,559.54 = 6,776.49/x
  3. Step 3: Cross multiply
    10,560x = 14,559.54 × 6,776.49
  4. Step 4: Simplify right side
    10,560x = 98,662,577.21
  5. Step 5: Solve for x
    x = 98,662,577.21/10,560
  6. Step 6: Final answer
    x = 9,343.05

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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.