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Finding the Fourth Proportional to 10,525.74, 14,524.08 and 5,810.01

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Solution

The fourth proportional to 10,525.74, 14,524.08 and 5,810.01 is: 8,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.74 : 14,524.08 = 5,810.01 : x
  2. Step 2: Convert to fraction form
    10,525.74/14,524.08 = 5,810.01/x
  3. Step 3: Cross multiply
    10,525.74x = 14,524.08 × 5,810.01
  4. Step 4: Simplify right side
    10,525.74x = 84,385,050.04
  5. Step 5: Solve for x
    x = 84,385,050.04/10,525.74
  6. Step 6: Final answer
    x = 8,017.02

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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.