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Finding the Fourth Proportional to 10,570.70, 14,597.36 and 7,913.49

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Solution

The fourth proportional to 10,570.70, 14,597.36 and 7,913.49 is: 10,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.70 : 14,597.36 = 7,913.49 : x
  2. Step 2: Convert to fraction form
    10,570.70/14,597.36 = 7,913.49/x
  3. Step 3: Cross multiply
    10,570.70x = 14,597.36 × 7,913.49
  4. Step 4: Simplify right side
    10,570.70x = 115,516,082.17
  5. Step 5: Solve for x
    x = 115,516,082.17/10,570.70
  6. Step 6: Final answer
    x = 10,927.96

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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.