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Finding the Fourth Proportional to 7,544.76, 10,411.50 and 4,559.49

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Solution

The fourth proportional to 7,544.76, 10,411.50 and 4,559.49 is: 6,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.76 : 10,411.50 = 4,559.49 : x
  2. Step 2: Convert to fraction form
    7,544.76/10,411.50 = 4,559.49/x
  3. Step 3: Cross multiply
    7,544.76x = 10,411.50 × 4,559.49
  4. Step 4: Simplify right side
    7,544.76x = 47,471,130.14
  5. Step 5: Solve for x
    x = 47,471,130.14/7,544.76
  6. Step 6: Final answer
    x = 6,291.93

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Half scale
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Double scale
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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.