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Finding the Fourth Proportional to 9,784.40, 14,662.20 and 8,315.60

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Solution

The fourth proportional to 9,784.40, 14,662.20 and 8,315.60 is: 12,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.40 : 14,662.20 = 8,315.60 : x
  2. Step 2: Convert to fraction form
    9,784.40/14,662.20 = 8,315.60/x
  3. Step 3: Cross multiply
    9,784.40x = 14,662.20 × 8,315.60
  4. Step 4: Simplify right side
    9,784.40x = 121,924,990.32
  5. Step 5: Solve for x
    x = 121,924,990.32/9,784.40
  6. Step 6: Final answer
    x = 12,461.16

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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.