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Finding the Fourth Proportional to 9,970.40, 14,955.60 and 9,754.40

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Solution

The fourth proportional to 9,970.40, 14,955.60 and 9,754.40 is: 14,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.40 : 14,955.60 = 9,754.40 : x
  2. Step 2: Convert to fraction form
    9,970.40/14,955.60 = 9,754.40/x
  3. Step 3: Cross multiply
    9,970.40x = 14,955.60 × 9,754.40
  4. Step 4: Simplify right side
    9,970.40x = 145,882,904.64
  5. Step 5: Solve for x
    x = 145,882,904.64/9,970.40
  6. Step 6: Final answer
    x = 14,631.60

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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.