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Finding the Fourth Proportional to 35,876.40, 53,814.60 and 9,585.20

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Solution

The fourth proportional to 35,876.40, 53,814.60 and 9,585.20 is: 14,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,876.40 : 53,814.60 = 9,585.20 : x
  2. Step 2: Convert to fraction form
    35,876.40/53,814.60 = 9,585.20/x
  3. Step 3: Cross multiply
    35,876.40x = 53,814.60 × 9,585.20
  4. Step 4: Simplify right side
    35,876.40x = 515,823,703.92
  5. Step 5: Solve for x
    x = 515,823,703.92/35,876.40
  6. Step 6: Final answer
    x = 14,377.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.