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Finding the Fourth Proportional to 9,527.67, 14,289.48 and 6,746.40

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Solution

The fourth proportional to 9,527.67, 14,289.48 and 6,746.40 is: 10,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.67 : 14,289.48 = 6,746.40 : x
  2. Step 2: Convert to fraction form
    9,527.67/14,289.48 = 6,746.40/x
  3. Step 3: Cross multiply
    9,527.67x = 14,289.48 × 6,746.40
  4. Step 4: Simplify right side
    9,527.67x = 96,402,547.87
  5. Step 5: Solve for x
    x = 96,402,547.87/9,527.67
  6. Step 6: Final answer
    x = 10,118.17

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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.