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Finding the Fourth Proportional to 9,783.99, 14,669.61 and 6,442.13

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Solution

The fourth proportional to 9,783.99, 14,669.61 and 6,442.13 is: 9,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.99 : 14,669.61 = 6,442.13 : x
  2. Step 2: Convert to fraction form
    9,783.99/14,669.61 = 6,442.13/x
  3. Step 3: Cross multiply
    9,783.99x = 14,669.61 × 6,442.13
  4. Step 4: Simplify right side
    9,783.99x = 94,503,461.32
  5. Step 5: Solve for x
    x = 94,503,461.32/9,783.99
  6. Step 6: Final answer
    x = 9,658.99

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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.