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Finding the Fourth Proportional to 7,567.66, 10,440.49 and 4,695.05

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Solution

The fourth proportional to 7,567.66, 10,440.49 and 4,695.05 is: 6,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.66 : 10,440.49 = 4,695.05 : x
  2. Step 2: Convert to fraction form
    7,567.66/10,440.49 = 4,695.05/x
  3. Step 3: Cross multiply
    7,567.66x = 10,440.49 × 4,695.05
  4. Step 4: Simplify right side
    7,567.66x = 49,018,622.57
  5. Step 5: Solve for x
    x = 49,018,622.57/7,567.66
  6. Step 6: Final answer
    x = 6,477.38

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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.