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Finding the Fourth Proportional to 14,607.01, 20,146.80 and 9,825.40

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Solution

The fourth proportional to 14,607.01, 20,146.80 and 9,825.40 is: 13,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,607.01 : 20,146.80 = 9,825.40 : x
  2. Step 2: Convert to fraction form
    14,607.01/20,146.80 = 9,825.40/x
  3. Step 3: Cross multiply
    14,607.01x = 20,146.80 × 9,825.40
  4. Step 4: Simplify right side
    14,607.01x = 197,950,368.72
  5. Step 5: Solve for x
    x = 197,950,368.72/14,607.01
  6. Step 6: Final answer
    x = 13,551.74

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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.