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Finding the Fourth Proportional to 10,775.70, 14,869.98 and 6,526.71

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Solution

The fourth proportional to 10,775.70, 14,869.98 and 6,526.71 is: 9,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.70 : 14,869.98 = 6,526.71 : x
  2. Step 2: Convert to fraction form
    10,775.70/14,869.98 = 6,526.71/x
  3. Step 3: Cross multiply
    10,775.70x = 14,869.98 × 6,526.71
  4. Step 4: Simplify right side
    10,775.70x = 97,052,047.17
  5. Step 5: Solve for x
    x = 97,052,047.17/10,775.70
  6. Step 6: Final answer
    x = 9,006.57

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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.