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Finding the Fourth Proportional to 8,283.18, 11,430.78 and 4,746.30

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Solution

The fourth proportional to 8,283.18, 11,430.78 and 4,746.30 is: 6,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.18 : 11,430.78 = 4,746.30 : x
  2. Step 2: Convert to fraction form
    8,283.18/11,430.78 = 4,746.30/x
  3. Step 3: Cross multiply
    8,283.18x = 11,430.78 × 4,746.30
  4. Step 4: Simplify right side
    8,283.18x = 54,253,911.11
  5. Step 5: Solve for x
    x = 54,253,911.11/8,283.18
  6. Step 6: Final answer
    x = 6,549.89

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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.