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Finding the Fourth Proportional to 7,572.75, 10,453.20 and 6,506.25

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Solution

The fourth proportional to 7,572.75, 10,453.20 and 6,506.25 is: 8,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.75 : 10,453.20 = 6,506.25 : x
  2. Step 2: Convert to fraction form
    7,572.75/10,453.20 = 6,506.25/x
  3. Step 3: Cross multiply
    7,572.75x = 10,453.20 × 6,506.25
  4. Step 4: Simplify right side
    7,572.75x = 68,011,132.50
  5. Step 5: Solve for x
    x = 68,011,132.50/7,572.75
  6. Step 6: Final answer
    x = 8,981.03

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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.