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Finding the Fourth Proportional to 9,684.30, 14,509.80 and 5,304.90

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Solution

The fourth proportional to 9,684.30, 14,509.80 and 5,304.90 is: 7,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.30 : 14,509.80 = 5,304.90 : x
  2. Step 2: Convert to fraction form
    9,684.30/14,509.80 = 5,304.90/x
  3. Step 3: Cross multiply
    9,684.30x = 14,509.80 × 5,304.90
  4. Step 4: Simplify right side
    9,684.30x = 76,973,038.02
  5. Step 5: Solve for x
    x = 76,973,038.02/9,684.30
  6. Step 6: Final answer
    x = 7,948.23

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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.