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Finding the Fourth Proportional to 9,830.94, 14,675.15 and 9,099.24

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Solution

The fourth proportional to 9,830.94, 14,675.15 and 9,099.24 is: 13,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.94 : 14,675.15 = 9,099.24 : x
  2. Step 2: Convert to fraction form
    9,830.94/14,675.15 = 9,099.24/x
  3. Step 3: Cross multiply
    9,830.94x = 14,675.15 × 9,099.24
  4. Step 4: Simplify right side
    9,830.94x = 133,532,666.39
  5. Step 5: Solve for x
    x = 133,532,666.39/9,830.94
  6. Step 6: Final answer
    x = 13,582.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.