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Finding the Fourth Proportional to 9,841.40, 14,762.10 and 8,869.40

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Solution

The fourth proportional to 9,841.40, 14,762.10 and 8,869.40 is: 13,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.40 : 14,762.10 = 8,869.40 : x
  2. Step 2: Convert to fraction form
    9,841.40/14,762.10 = 8,869.40/x
  3. Step 3: Cross multiply
    9,841.40x = 14,762.10 × 8,869.40
  4. Step 4: Simplify right side
    9,841.40x = 130,930,969.74
  5. Step 5: Solve for x
    x = 130,930,969.74/9,841.40
  6. Step 6: Final answer
    x = 13,304.10

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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.