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Finding the Fourth Proportional to 7,648.54, 10,553.19 and 4,459.93

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Solution

The fourth proportional to 7,648.54, 10,553.19 and 4,459.93 is: 6,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.54 : 10,553.19 = 4,459.93 : x
  2. Step 2: Convert to fraction form
    7,648.54/10,553.19 = 4,459.93/x
  3. Step 3: Cross multiply
    7,648.54x = 10,553.19 × 4,459.93
  4. Step 4: Simplify right side
    7,648.54x = 47,066,488.68
  5. Step 5: Solve for x
    x = 47,066,488.68/7,648.54
  6. Step 6: Final answer
    x = 6,153.66

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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.