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Finding the Fourth Proportional to 9,851.40, 14,784.30 and 6,563.40

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Solution

The fourth proportional to 9,851.40, 14,784.30 and 6,563.40 is: 9,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.40 : 14,784.30 = 6,563.40 : x
  2. Step 2: Convert to fraction form
    9,851.40/14,784.30 = 6,563.40/x
  3. Step 3: Cross multiply
    9,851.40x = 14,784.30 × 6,563.40
  4. Step 4: Simplify right side
    9,851.40x = 97,035,274.62
  5. Step 5: Solve for x
    x = 97,035,274.62/9,851.40
  6. Step 6: Final answer
    x = 9,849.90

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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.