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Finding the Fourth Proportional to 7,703.66, 10,631.03 and 4,166.93

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Solution

The fourth proportional to 7,703.66, 10,631.03 and 4,166.93 is: 5,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.66 : 10,631.03 = 4,166.93 : x
  2. Step 2: Convert to fraction form
    7,703.66/10,631.03 = 4,166.93/x
  3. Step 3: Cross multiply
    7,703.66x = 10,631.03 × 4,166.93
  4. Step 4: Simplify right side
    7,703.66x = 44,298,683.85
  5. Step 5: Solve for x
    x = 44,298,683.85/7,703.66
  6. Step 6: Final answer
    x = 5,750.35

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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.