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Finding the Fourth Proportional to 14,013.10, 21,019.65 and 9,784.90

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Solution

The fourth proportional to 14,013.10, 21,019.65 and 9,784.90 is: 14,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013.10 : 21,019.65 = 9,784.90 : x
  2. Step 2: Convert to fraction form
    14,013.10/21,019.65 = 9,784.90/x
  3. Step 3: Cross multiply
    14,013.10x = 21,019.65 × 9,784.90
  4. Step 4: Simplify right side
    14,013.10x = 205,675,173.29
  5. Step 5: Solve for x
    x = 205,675,173.29/14,013.10
  6. Step 6: Final answer
    x = 14,677.35

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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.