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Finding the Fourth Proportional to 10,070.10, 15,107.88 and 7,166.88

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Solution

The fourth proportional to 10,070.10, 15,107.88 and 7,166.88 is: 10,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.10 : 15,107.88 = 7,166.88 : x
  2. Step 2: Convert to fraction form
    10,070.10/15,107.88 = 7,166.88/x
  3. Step 3: Cross multiply
    10,070.10x = 15,107.88 × 7,166.88
  4. Step 4: Simplify right side
    10,070.10x = 108,276,363.01
  5. Step 5: Solve for x
    x = 108,276,363.01/10,070.10
  6. Step 6: Final answer
    x = 10,752.26

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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.