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Finding the Fourth Proportional to 10,777.10, 14,868.92 and 6,526.80

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Solution

The fourth proportional to 10,777.10, 14,868.92 and 6,526.80 is: 9,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.10 : 14,868.92 = 6,526.80 : x
  2. Step 2: Convert to fraction form
    10,777.10/14,868.92 = 6,526.80/x
  3. Step 3: Cross multiply
    10,777.10x = 14,868.92 × 6,526.80
  4. Step 4: Simplify right side
    10,777.10x = 97,046,483.37
  5. Step 5: Solve for x
    x = 97,046,483.37/10,777.10
  6. Step 6: Final answer
    x = 9,004.88

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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.