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Finding the Fourth Proportional to 35,830.78, 53,747.38 and 9,535.55

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Solution

The fourth proportional to 35,830.78, 53,747.38 and 9,535.55 is: 14,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.78 : 53,747.38 = 9,535.55 : x
  2. Step 2: Convert to fraction form
    35,830.78/53,747.38 = 9,535.55/x
  3. Step 3: Cross multiply
    35,830.78x = 53,747.38 × 9,535.55
  4. Step 4: Simplify right side
    35,830.78x = 512,510,829.36
  5. Step 5: Solve for x
    x = 512,510,829.36/35,830.78
  6. Step 6: Final answer
    x = 14,303.65

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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.