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Finding the Fourth Proportional to 9,823.79, 14,725.08 and 7,148.94

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Solution

The fourth proportional to 9,823.79, 14,725.08 and 7,148.94 is: 10,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.79 : 14,725.08 = 7,148.94 : x
  2. Step 2: Convert to fraction form
    9,823.79/14,725.08 = 7,148.94/x
  3. Step 3: Cross multiply
    9,823.79x = 14,725.08 × 7,148.94
  4. Step 4: Simplify right side
    9,823.79x = 105,268,713.42
  5. Step 5: Solve for x
    x = 105,268,713.42/9,823.79
  6. Step 6: Final answer
    x = 10,715.70

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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.