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Finding the Fourth Proportional to 7,760.96, 10,710.16 and 4,224.18

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Solution

The fourth proportional to 7,760.96, 10,710.16 and 4,224.18 is: 5,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.96 : 10,710.16 = 4,224.18 : x
  2. Step 2: Convert to fraction form
    7,760.96/10,710.16 = 4,224.18/x
  3. Step 3: Cross multiply
    7,760.96x = 10,710.16 × 4,224.18
  4. Step 4: Simplify right side
    7,760.96x = 45,241,643.67
  5. Step 5: Solve for x
    x = 45,241,643.67/7,760.96
  6. Step 6: Final answer
    x = 5,829.39

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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.