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Finding the Fourth Proportional to 10,454.70, 15,690.10 and 6,075.24

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Solution

The fourth proportional to 10,454.70, 15,690.10 and 6,075.24 is: 9,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.70 : 15,690.10 = 6,075.24 : x
  2. Step 2: Convert to fraction form
    10,454.70/15,690.10 = 6,075.24/x
  3. Step 3: Cross multiply
    10,454.70x = 15,690.10 × 6,075.24
  4. Step 4: Simplify right side
    10,454.70x = 95,321,123.12
  5. Step 5: Solve for x
    x = 95,321,123.12/10,454.70
  6. Step 6: Final answer
    x = 9,117.54

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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.