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Finding the Fourth Proportional to 9,854.94, 14,784.97 and 4,924.38

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Solution

The fourth proportional to 9,854.94, 14,784.97 and 4,924.38 is: 7,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.94 : 14,784.97 = 4,924.38 : x
  2. Step 2: Convert to fraction form
    9,854.94/14,784.97 = 4,924.38/x
  3. Step 3: Cross multiply
    9,854.94x = 14,784.97 × 4,924.38
  4. Step 4: Simplify right side
    9,854.94x = 72,806,810.57
  5. Step 5: Solve for x
    x = 72,806,810.57/9,854.94
  6. Step 6: Final answer
    x = 7,387.85

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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.