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Finding the Fourth Proportional to 9,774.14, 13,488 and 5,582.40

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Solution

The fourth proportional to 9,774.14, 13,488 and 5,582.40 is: 7,703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.14 : 13,488 = 5,582.40 : x
  2. Step 2: Convert to fraction form
    9,774.14/13,488 = 5,582.40/x
  3. Step 3: Cross multiply
    9,774.14x = 13,488 × 5,582.40
  4. Step 4: Simplify right side
    9,774.14x = 75,295,411.20
  5. Step 5: Solve for x
    x = 75,295,411.20/9,774.14
  6. Step 6: Final answer
    x = 7,703.53

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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.