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Finding the Fourth Proportional to 10,588.34, 15,889.80 and 4,751.48

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Solution

The fourth proportional to 10,588.34, 15,889.80 and 4,751.48 is: 7,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.34 : 15,889.80 = 4,751.48 : x
  2. Step 2: Convert to fraction form
    10,588.34/15,889.80 = 4,751.48/x
  3. Step 3: Cross multiply
    10,588.34x = 15,889.80 × 4,751.48
  4. Step 4: Simplify right side
    10,588.34x = 75,500,066.90
  5. Step 5: Solve for x
    x = 75,500,066.90/10,588.34
  6. Step 6: Final answer
    x = 7,130.49

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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.