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Finding the Fourth Proportional to 23,657.98, 35,495.34 and 10,509.16

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Solution

The fourth proportional to 23,657.98, 35,495.34 and 10,509.16 is: 15,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.98 : 35,495.34 = 10,509.16 : x
  2. Step 2: Convert to fraction form
    23,657.98/35,495.34 = 10,509.16/x
  3. Step 3: Cross multiply
    23,657.98x = 35,495.34 × 10,509.16
  4. Step 4: Simplify right side
    23,657.98x = 373,026,207.31
  5. Step 5: Solve for x
    x = 373,026,207.31/23,657.98
  6. Step 6: Final answer
    x = 15,767.46

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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.