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Finding the Fourth Proportional to 4,415, 6,598.07 and 3,545.24

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Solution

The fourth proportional to 4,415, 6,598.07 and 3,545.24 is: 5,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415 : 6,598.07 = 3,545.24 : x
  2. Step 2: Convert to fraction form
    4,415/6,598.07 = 3,545.24/x
  3. Step 3: Cross multiply
    4,415x = 6,598.07 × 3,545.24
  4. Step 4: Simplify right side
    4,415x = 23,391,741.69
  5. Step 5: Solve for x
    x = 23,391,741.69/4,415
  6. Step 6: Final answer
    x = 5,298.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.