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Finding the Fourth Proportional to 10,834.19, 14,955.04 and 7,010.99

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Solution

The fourth proportional to 10,834.19, 14,955.04 and 7,010.99 is: 9,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.19 : 14,955.04 = 7,010.99 : x
  2. Step 2: Convert to fraction form
    10,834.19/14,955.04 = 7,010.99/x
  3. Step 3: Cross multiply
    10,834.19x = 14,955.04 × 7,010.99
  4. Step 4: Simplify right side
    10,834.19x = 104,849,559.91
  5. Step 5: Solve for x
    x = 104,849,559.91/10,834.19
  6. Step 6: Final answer
    x = 9,677.65

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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.