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Finding the Fourth Proportional to 30,913.25, 46,367.47 and 9,854.49

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Solution

The fourth proportional to 30,913.25, 46,367.47 and 9,854.49 is: 14,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.25 : 46,367.47 = 9,854.49 : x
  2. Step 2: Convert to fraction form
    30,913.25/46,367.47 = 9,854.49/x
  3. Step 3: Cross multiply
    30,913.25x = 46,367.47 × 9,854.49
  4. Step 4: Simplify right side
    30,913.25x = 456,927,955.64
  5. Step 5: Solve for x
    x = 456,927,955.64/30,913.25
  6. Step 6: Final answer
    x = 14,780.98

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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.