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Finding the Fourth Proportional to 7,573.50, 10,451.57 and 4,429.62

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Solution

The fourth proportional to 7,573.50, 10,451.57 and 4,429.62 is: 6,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.50 : 10,451.57 = 4,429.62 : x
  2. Step 2: Convert to fraction form
    7,573.50/10,451.57 = 4,429.62/x
  3. Step 3: Cross multiply
    7,573.50x = 10,451.57 × 4,429.62
  4. Step 4: Simplify right side
    7,573.50x = 46,296,461.36
  5. Step 5: Solve for x
    x = 46,296,461.36/7,573.50
  6. Step 6: Final answer
    x = 6,112.95

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Half scale
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Double scale
Find fourth proportional to 7,574.50, 10,452.95 and 4,430.62
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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.