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Finding the Fourth Proportional to 14,297.64, 19,737.86 and 9,823.08

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Solution

The fourth proportional to 14,297.64, 19,737.86 and 9,823.08 is: 13,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.64 : 19,737.86 = 9,823.08 : x
  2. Step 2: Convert to fraction form
    14,297.64/19,737.86 = 9,823.08/x
  3. Step 3: Cross multiply
    14,297.64x = 19,737.86 × 9,823.08
  4. Step 4: Simplify right side
    14,297.64x = 193,886,577.81
  5. Step 5: Solve for x
    x = 193,886,577.81/14,297.64
  6. Step 6: Final answer
    x = 13,560.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.