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Finding the Fourth Proportional to 9,713.94, 14,549.85 and 6,017.10

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Solution

The fourth proportional to 9,713.94, 14,549.85 and 6,017.10 is: 9,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.94 : 14,549.85 = 6,017.10 : x
  2. Step 2: Convert to fraction form
    9,713.94/14,549.85 = 6,017.10/x
  3. Step 3: Cross multiply
    9,713.94x = 14,549.85 × 6,017.10
  4. Step 4: Simplify right side
    9,713.94x = 87,547,902.44
  5. Step 5: Solve for x
    x = 87,547,902.44/9,713.94
  6. Step 6: Final answer
    x = 9,012.60

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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.