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Finding the Fourth Proportional to 10,703.34, 14,775.66 and 8,051.76

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Solution

The fourth proportional to 10,703.34, 14,775.66 and 8,051.76 is: 11,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.34 : 14,775.66 = 8,051.76 : x
  2. Step 2: Convert to fraction form
    10,703.34/14,775.66 = 8,051.76/x
  3. Step 3: Cross multiply
    10,703.34x = 14,775.66 × 8,051.76
  4. Step 4: Simplify right side
    10,703.34x = 118,970,068.16
  5. Step 5: Solve for x
    x = 118,970,068.16/10,703.34
  6. Step 6: Final answer
    x = 11,115.23

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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.