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Finding the Fourth Proportional to 14,271.40, 21,407.10 and 7,710.40

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Solution

The fourth proportional to 14,271.40, 21,407.10 and 7,710.40 is: 11,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.40 : 21,407.10 = 7,710.40 : x
  2. Step 2: Convert to fraction form
    14,271.40/21,407.10 = 7,710.40/x
  3. Step 3: Cross multiply
    14,271.40x = 21,407.10 × 7,710.40
  4. Step 4: Simplify right side
    14,271.40x = 165,057,303.84
  5. Step 5: Solve for x
    x = 165,057,303.84/14,271.40
  6. Step 6: Final answer
    x = 11,565.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.