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Finding the Fourth Proportional to 7,710.48, 10,641 and 4,567.68

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Solution

The fourth proportional to 7,710.48, 10,641 and 4,567.68 is: 6,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.48 : 10,641 = 4,567.68 : x
  2. Step 2: Convert to fraction form
    7,710.48/10,641 = 4,567.68/x
  3. Step 3: Cross multiply
    7,710.48x = 10,641 × 4,567.68
  4. Step 4: Simplify right side
    7,710.48x = 48,604,682.88
  5. Step 5: Solve for x
    x = 48,604,682.88/7,710.48
  6. Step 6: Final answer
    x = 6,303.72

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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.