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Finding the Fourth Proportional to 10,479.60, 14,462.22 and 6,002.40

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Solution

The fourth proportional to 10,479.60, 14,462.22 and 6,002.40 is: 8,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.60 : 14,462.22 = 6,002.40 : x
  2. Step 2: Convert to fraction form
    10,479.60/14,462.22 = 6,002.40/x
  3. Step 3: Cross multiply
    10,479.60x = 14,462.22 × 6,002.40
  4. Step 4: Simplify right side
    10,479.60x = 86,808,089.19
  5. Step 5: Solve for x
    x = 86,808,089.19/10,479.60
  6. Step 6: Final answer
    x = 8,283.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.