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Finding the Fourth Proportional to 10,370.65, 14,312.53 and 6,123.11

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Solution

The fourth proportional to 10,370.65, 14,312.53 and 6,123.11 is: 8,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.65 : 14,312.53 = 6,123.11 : x
  2. Step 2: Convert to fraction form
    10,370.65/14,312.53 = 6,123.11/x
  3. Step 3: Cross multiply
    10,370.65x = 14,312.53 × 6,123.11
  4. Step 4: Simplify right side
    10,370.65x = 87,637,212.17
  5. Step 5: Solve for x
    x = 87,637,212.17/10,370.65
  6. Step 6: Final answer
    x = 8,450.50

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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.