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Finding the Fourth Proportional to 9,969.40, 14,964.90 and 6,275.80

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Solution

The fourth proportional to 9,969.40, 14,964.90 and 6,275.80 is: 9,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.40 : 14,964.90 = 6,275.80 : x
  2. Step 2: Convert to fraction form
    9,969.40/14,964.90 = 6,275.80/x
  3. Step 3: Cross multiply
    9,969.40x = 14,964.90 × 6,275.80
  4. Step 4: Simplify right side
    9,969.40x = 93,916,719.42
  5. Step 5: Solve for x
    x = 93,916,719.42/9,969.40
  6. Step 6: Final answer
    x = 9,420.50

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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.