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Finding the Fourth Proportional to 9,703.20, 14,550 and 4,505.76

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Solution

The fourth proportional to 9,703.20, 14,550 and 4,505.76 is: 6,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.20 : 14,550 = 4,505.76 : x
  2. Step 2: Convert to fraction form
    9,703.20/14,550 = 4,505.76/x
  3. Step 3: Cross multiply
    9,703.20x = 14,550 × 4,505.76
  4. Step 4: Simplify right side
    9,703.20x = 65,558,808
  5. Step 5: Solve for x
    x = 65,558,808/9,703.20
  6. Step 6: Final answer
    x = 6,756.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.