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Finding the Fourth Proportional to 10,312, 14,230.48 and 5,596.29

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Solution

The fourth proportional to 10,312, 14,230.48 and 5,596.29 is: 7,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312 : 14,230.48 = 5,596.29 : x
  2. Step 2: Convert to fraction form
    10,312/14,230.48 = 5,596.29/x
  3. Step 3: Cross multiply
    10,312x = 14,230.48 × 5,596.29
  4. Step 4: Simplify right side
    10,312x = 79,637,892.92
  5. Step 5: Solve for x
    x = 79,637,892.92/10,312
  6. Step 6: Final answer
    x = 7,722.84

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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.