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Finding the Fourth Proportional to 10,461.53, 14,430.79 and 7,064.39

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Solution

The fourth proportional to 10,461.53, 14,430.79 and 7,064.39 is: 9,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.53 : 14,430.79 = 7,064.39 : x
  2. Step 2: Convert to fraction form
    10,461.53/14,430.79 = 7,064.39/x
  3. Step 3: Cross multiply
    10,461.53x = 14,430.79 × 7,064.39
  4. Step 4: Simplify right side
    10,461.53x = 101,944,773.48
  5. Step 5: Solve for x
    x = 101,944,773.48/10,461.53
  6. Step 6: Final answer
    x = 9,744.73

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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.