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Finding the Fourth Proportional to 5,586.84, 7,696.08 and 4,702.32

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Solution

The fourth proportional to 5,586.84, 7,696.08 and 4,702.32 is: 6,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.84 : 7,696.08 = 4,702.32 : x
  2. Step 2: Convert to fraction form
    5,586.84/7,696.08 = 4,702.32/x
  3. Step 3: Cross multiply
    5,586.84x = 7,696.08 × 4,702.32
  4. Step 4: Simplify right side
    5,586.84x = 36,189,430.91
  5. Step 5: Solve for x
    x = 36,189,430.91/5,586.84
  6. Step 6: Final answer
    x = 6,477.62

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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.