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Finding the Fourth Proportional to 9,840.93, 14,764.14 and 4,294.77

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Solution

The fourth proportional to 9,840.93, 14,764.14 and 4,294.77 is: 6,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.93 : 14,764.14 = 4,294.77 : x
  2. Step 2: Convert to fraction form
    9,840.93/14,764.14 = 4,294.77/x
  3. Step 3: Cross multiply
    9,840.93x = 14,764.14 × 4,294.77
  4. Step 4: Simplify right side
    9,840.93x = 63,408,585.55
  5. Step 5: Solve for x
    x = 63,408,585.55/9,840.93
  6. Step 6: Final answer
    x = 6,443.35

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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.