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Finding the Fourth Proportional to 7,702.01, 10,631.50 and 4,558.19

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Solution

The fourth proportional to 7,702.01, 10,631.50 and 4,558.19 is: 6,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.01 : 10,631.50 = 4,558.19 : x
  2. Step 2: Convert to fraction form
    7,702.01/10,631.50 = 4,558.19/x
  3. Step 3: Cross multiply
    7,702.01x = 10,631.50 × 4,558.19
  4. Step 4: Simplify right side
    7,702.01x = 48,460,347.62
  5. Step 5: Solve for x
    x = 48,460,347.62/7,702.01
  6. Step 6: Final answer
    x = 6,291.91

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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.