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Finding the Fourth Proportional to 35,854.93, 53,782.59 and 9,559.59

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Solution

The fourth proportional to 35,854.93, 53,782.59 and 9,559.59 is: 14,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,854.93 : 53,782.59 = 9,559.59 : x
  2. Step 2: Convert to fraction form
    35,854.93/53,782.59 = 9,559.59/x
  3. Step 3: Cross multiply
    35,854.93x = 53,782.59 × 9,559.59
  4. Step 4: Simplify right side
    35,854.93x = 514,139,509.54
  5. Step 5: Solve for x
    x = 514,139,509.54/35,854.93
  6. Step 6: Final answer
    x = 14,339.44

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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.