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Finding the Fourth Proportional to 14,693.64, 20,267.16 and 9,386.10

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Solution

The fourth proportional to 14,693.64, 20,267.16 and 9,386.10 is: 12,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.64 : 20,267.16 = 9,386.10 : x
  2. Step 2: Convert to fraction form
    14,693.64/20,267.16 = 9,386.10/x
  3. Step 3: Cross multiply
    14,693.64x = 20,267.16 × 9,386.10
  4. Step 4: Simplify right side
    14,693.64x = 190,229,590.48
  5. Step 5: Solve for x
    x = 190,229,590.48/14,693.64
  6. Step 6: Final answer
    x = 12,946.39

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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.