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Finding the Fourth Proportional to 10,748, 14,834.80 and 6,559.76

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Solution

The fourth proportional to 10,748, 14,834.80 and 6,559.76 is: 9,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748 : 14,834.80 = 6,559.76 : x
  2. Step 2: Convert to fraction form
    10,748/14,834.80 = 6,559.76/x
  3. Step 3: Cross multiply
    10,748x = 14,834.80 × 6,559.76
  4. Step 4: Simplify right side
    10,748x = 97,312,727.65
  5. Step 5: Solve for x
    x = 97,312,727.65/10,748
  6. Step 6: Final answer
    x = 9,054.03

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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.