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Finding the Fourth Proportional to 9,967.05, 13,752.05 and 6,426

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Solution

The fourth proportional to 9,967.05, 13,752.05 and 6,426 is: 8,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.05 : 13,752.05 = 6,426 : x
  2. Step 2: Convert to fraction form
    9,967.05/13,752.05 = 6,426/x
  3. Step 3: Cross multiply
    9,967.05x = 13,752.05 × 6,426
  4. Step 4: Simplify right side
    9,967.05x = 88,370,641.17
  5. Step 5: Solve for x
    x = 88,370,641.17/9,967.05
  6. Step 6: Final answer
    x = 8,866.28

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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.