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Finding the Fourth Proportional to 8,430.76, 11,635.62 and 4,705

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Solution

The fourth proportional to 8,430.76, 11,635.62 and 4,705 is: 6,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.76 : 11,635.62 = 4,705 : x
  2. Step 2: Convert to fraction form
    8,430.76/11,635.62 = 4,705/x
  3. Step 3: Cross multiply
    8,430.76x = 11,635.62 × 4,705
  4. Step 4: Simplify right side
    8,430.76x = 54,745,592.10
  5. Step 5: Solve for x
    x = 54,745,592.10/8,430.76
  6. Step 6: Final answer
    x = 6,493.55

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Double scale
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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.