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Finding the Fourth Proportional to 7,729, 10,666.02 and 4,417

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Solution

The fourth proportional to 7,729, 10,666.02 and 4,417 is: 6,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729 : 10,666.02 = 4,417 : x
  2. Step 2: Convert to fraction form
    7,729/10,666.02 = 4,417/x
  3. Step 3: Cross multiply
    7,729x = 10,666.02 × 4,417
  4. Step 4: Simplify right side
    7,729x = 47,111,810.34
  5. Step 5: Solve for x
    x = 47,111,810.34/7,729
  6. Step 6: Final answer
    x = 6,095.46

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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.