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Finding the Fourth Proportional to 10,526.87, 14,526.63 and 5,811.05

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Solution

The fourth proportional to 10,526.87, 14,526.63 and 5,811.05 is: 8,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.87 : 14,526.63 = 5,811.05 : x
  2. Step 2: Convert to fraction form
    10,526.87/14,526.63 = 5,811.05/x
  3. Step 3: Cross multiply
    10,526.87x = 14,526.63 × 5,811.05
  4. Step 4: Simplify right side
    10,526.87x = 84,414,973.26
  5. Step 5: Solve for x
    x = 84,414,973.26/10,526.87
  6. Step 6: Final answer
    x = 8,019.00

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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.