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Finding the Fourth Proportional to 7,642.60, 10,547.06 and 4,457.93

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Solution

The fourth proportional to 7,642.60, 10,547.06 and 4,457.93 is: 6,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.60 : 10,547.06 = 4,457.93 : x
  2. Step 2: Convert to fraction form
    7,642.60/10,547.06 = 4,457.93/x
  3. Step 3: Cross multiply
    7,642.60x = 10,547.06 × 4,457.93
  4. Step 4: Simplify right side
    7,642.60x = 47,018,055.19
  5. Step 5: Solve for x
    x = 47,018,055.19/7,642.60
  6. Step 6: Final answer
    x = 6,152.10

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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.