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Finding the Fourth Proportional to 10,525.95, 14,526.03 and 5,810.22

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Solution

The fourth proportional to 10,525.95, 14,526.03 and 5,810.22 is: 8,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.95 : 14,526.03 = 5,810.22 : x
  2. Step 2: Convert to fraction form
    10,525.95/14,526.03 = 5,810.22/x
  3. Step 3: Cross multiply
    10,525.95x = 14,526.03 × 5,810.22
  4. Step 4: Simplify right side
    10,525.95x = 84,399,430.03
  5. Step 5: Solve for x
    x = 84,399,430.03/10,525.95
  6. Step 6: Final answer
    x = 8,018.22

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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.