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Finding the Fourth Proportional to 10,752.60, 16,128.90 and 9,683.40

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Solution

The fourth proportional to 10,752.60, 16,128.90 and 9,683.40 is: 14,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.60 : 16,128.90 = 9,683.40 : x
  2. Step 2: Convert to fraction form
    10,752.60/16,128.90 = 9,683.40/x
  3. Step 3: Cross multiply
    10,752.60x = 16,128.90 × 9,683.40
  4. Step 4: Simplify right side
    10,752.60x = 156,182,590.26
  5. Step 5: Solve for x
    x = 156,182,590.26/10,752.60
  6. Step 6: Final answer
    x = 14,525.10

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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.