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Finding the Fourth Proportional to 9,895.20, 14,842.80 and 9,837.60

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Solution

The fourth proportional to 9,895.20, 14,842.80 and 9,837.60 is: 14,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.20 : 14,842.80 = 9,837.60 : x
  2. Step 2: Convert to fraction form
    9,895.20/14,842.80 = 9,837.60/x
  3. Step 3: Cross multiply
    9,895.20x = 14,842.80 × 9,837.60
  4. Step 4: Simplify right side
    9,895.20x = 146,017,529.28
  5. Step 5: Solve for x
    x = 146,017,529.28/9,895.20
  6. Step 6: Final answer
    x = 14,756.40

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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.