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Finding the Fourth Proportional to 30,653.75, 45,955.80 and 9,582.94

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Solution

The fourth proportional to 30,653.75, 45,955.80 and 9,582.94 is: 14,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653.75 : 45,955.80 = 9,582.94 : x
  2. Step 2: Convert to fraction form
    30,653.75/45,955.80 = 9,582.94/x
  3. Step 3: Cross multiply
    30,653.75x = 45,955.80 × 9,582.94
  4. Step 4: Simplify right side
    30,653.75x = 440,391,444.27
  5. Step 5: Solve for x
    x = 440,391,444.27/30,653.75
  6. Step 6: Final answer
    x = 14,366.64

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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.